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Finding the Third Proportional to 30,866.63 and 46,117.13

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Solution

The third proportional to 30,866.63 and 46,117.13 is: 68,902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866.63 : 46,117.13 = 46,117.13 : x
  2. Step 2: Convert to fraction form
    30,866.63/46,117.13 = 46,117.13/x
  3. Step 3: Cross multiply
    30,866.63x = 46,117.13 × 46,117.13
  4. Step 4: Simplify right side
    30,866.63x = 2,126,789,218.27
  5. Step 5: Solve for x
    x = 2,126,789,218.27/30,866.63
  6. Step 6: Final answer
    x = 68,902.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.