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Finding the Third Proportional to 29,612 and 63,616

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Solution

The third proportional to 29,612 and 63,616 is: 136,667.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,612 : 63,616 = 63,616 : x
  2. Step 2: Convert to fraction form
    29,612/63,616 = 63,616/x
  3. Step 3: Cross multiply
    29,612x = 63,616 × 63,616
  4. Step 4: Simplify right side
    29,612x = 4,046,995,456
  5. Step 5: Solve for x
    x = 4,046,995,456/29,612
  6. Step 6: Final answer
    x = 136,667.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.