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Finding the Third Proportional to 39,854 and 59,682

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Solution

The third proportional to 39,854 and 59,682 is: 89,374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,854 : 59,682 = 59,682 : x
  2. Step 2: Convert to fraction form
    39,854/59,682 = 59,682/x
  3. Step 3: Cross multiply
    39,854x = 59,682 × 59,682
  4. Step 4: Simplify right side
    39,854x = 3,561,941,124
  5. Step 5: Solve for x
    x = 3,561,941,124/39,854
  6. Step 6: Final answer
    x = 89,374.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.