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Finding the Third Proportional to 39,943.13 and 61,084.13

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Solution

The third proportional to 39,943.13 and 61,084.13 is: 93,414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,943.13 : 61,084.13 = 61,084.13 : x
  2. Step 2: Convert to fraction form
    39,943.13/61,084.13 = 61,084.13/x
  3. Step 3: Cross multiply
    39,943.13x = 61,084.13 × 61,084.13
  4. Step 4: Simplify right side
    39,943.13x = 3,731,270,327.02
  5. Step 5: Solve for x
    x = 3,731,270,327.02/39,943.13
  6. Step 6: Final answer
    x = 93,414.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.