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Finding the Third Proportional to 30,790.13 and 46,185.19

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Solution

The third proportional to 30,790.13 and 46,185.19 is: 69,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,790.13 : 46,185.19 = 46,185.19 : x
  2. Step 2: Convert to fraction form
    30,790.13/46,185.19 = 46,185.19/x
  3. Step 3: Cross multiply
    30,790.13x = 46,185.19 × 46,185.19
  4. Step 4: Simplify right side
    30,790.13x = 2,133,071,544.41
  5. Step 5: Solve for x
    x = 2,133,071,544.41/30,790.13
  6. Step 6: Final answer
    x = 69,277.78

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.