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Finding the Third Proportional to 47,649 and 101,631

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Solution

The third proportional to 47,649 and 101,631 is: 216,769.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,649 : 101,631 = 101,631 : x
  2. Step 2: Convert to fraction form
    47,649/101,631 = 101,631/x
  3. Step 3: Cross multiply
    47,649x = 101,631 × 101,631
  4. Step 4: Simplify right side
    47,649x = 10,328,860,161
  5. Step 5: Solve for x
    x = 10,328,860,161/47,649
  6. Step 6: Final answer
    x = 216,769.72

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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.