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Finding the Third Proportional to 13,542 and 29,616

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Solution

The third proportional to 13,542 and 29,616 is: 64,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542 : 29,616 = 29,616 : x
  2. Step 2: Convert to fraction form
    13,542/29,616 = 29,616/x
  3. Step 3: Cross multiply
    13,542x = 29,616 × 29,616
  4. Step 4: Simplify right side
    13,542x = 877,107,456
  5. Step 5: Solve for x
    x = 877,107,456/13,542
  6. Step 6: Final answer
    x = 64,769.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.