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Finding the Third Proportional to 29,716 and 63,441

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Solution

The third proportional to 29,716 and 63,441 is: 135,440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,716 : 63,441 = 63,441 : x
  2. Step 2: Convert to fraction form
    29,716/63,441 = 63,441/x
  3. Step 3: Cross multiply
    29,716x = 63,441 × 63,441
  4. Step 4: Simplify right side
    29,716x = 4,024,760,481
  5. Step 5: Solve for x
    x = 4,024,760,481/29,716
  6. Step 6: Final answer
    x = 135,440.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.