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Finding the Third Proportional to 29,671 and 63,554

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Solution

The third proportional to 29,671 and 63,554 is: 136,129.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,671 : 63,554 = 63,554 : x
  2. Step 2: Convert to fraction form
    29,671/63,554 = 63,554/x
  3. Step 3: Cross multiply
    29,671x = 63,554 × 63,554
  4. Step 4: Simplify right side
    29,671x = 4,039,110,916
  5. Step 5: Solve for x
    x = 4,039,110,916/29,671
  6. Step 6: Final answer
    x = 136,129.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.