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Finding the Third Proportional to 47,649 and 101,624

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Solution

The third proportional to 47,649 and 101,624 is: 216,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,649 : 101,624 = 101,624 : x
  2. Step 2: Convert to fraction form
    47,649/101,624 = 101,624/x
  3. Step 3: Cross multiply
    47,649x = 101,624 × 101,624
  4. Step 4: Simplify right side
    47,649x = 10,327,437,376
  5. Step 5: Solve for x
    x = 10,327,437,376/47,649
  6. Step 6: Final answer
    x = 216,739.86

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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.