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Finding the Third Proportional to 39,265 and 59,717

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Solution

The third proportional to 39,265 and 59,717 is: 90,821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,265 : 59,717 = 59,717 : x
  2. Step 2: Convert to fraction form
    39,265/59,717 = 59,717/x
  3. Step 3: Cross multiply
    39,265x = 59,717 × 59,717
  4. Step 4: Simplify right side
    39,265x = 3,566,120,089
  5. Step 5: Solve for x
    x = 3,566,120,089/39,265
  6. Step 6: Final answer
    x = 90,821.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.