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Finding the Third Proportional to 30,709.13 and 46,382.63

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Solution

The third proportional to 30,709.13 and 46,382.63 is: 70,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.13 : 46,382.63 = 46,382.63 : x
  2. Step 2: Convert to fraction form
    30,709.13/46,382.63 = 46,382.63/x
  3. Step 3: Cross multiply
    30,709.13x = 46,382.63 × 46,382.63
  4. Step 4: Simplify right side
    30,709.13x = 2,151,347,901.89
  5. Step 5: Solve for x
    x = 2,151,347,901.89/30,709.13
  6. Step 6: Final answer
    x = 70,055.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.