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Finding the Third Proportional to 39,044 and 62,081

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Solution

The third proportional to 39,044 and 62,081 is: 98,710.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,044 : 62,081 = 62,081 : x
  2. Step 2: Convert to fraction form
    39,044/62,081 = 62,081/x
  3. Step 3: Cross multiply
    39,044x = 62,081 × 62,081
  4. Step 4: Simplify right side
    39,044x = 3,854,050,561
  5. Step 5: Solve for x
    x = 3,854,050,561/39,044
  6. Step 6: Final answer
    x = 98,710.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.