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Finding the Third Proportional to 24,912 and 39,616

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Solution

The third proportional to 24,912 and 39,616 is: 62,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,912 : 39,616 = 39,616 : x
  2. Step 2: Convert to fraction form
    24,912/39,616 = 39,616/x
  3. Step 3: Cross multiply
    24,912x = 39,616 × 39,616
  4. Step 4: Simplify right side
    24,912x = 1,569,427,456
  5. Step 5: Solve for x
    x = 1,569,427,456/24,912
  6. Step 6: Final answer
    x = 62,998.85

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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.