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Finding the Third Proportional to 39,508 and 59,687

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Solution

The third proportional to 39,508 and 59,687 is: 90,172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,508 : 59,687 = 59,687 : x
  2. Step 2: Convert to fraction form
    39,508/59,687 = 59,687/x
  3. Step 3: Cross multiply
    39,508x = 59,687 × 59,687
  4. Step 4: Simplify right side
    39,508x = 3,562,537,969
  5. Step 5: Solve for x
    x = 3,562,537,969/39,508
  6. Step 6: Final answer
    x = 90,172.57

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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.