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Finding the Third Proportional to 21,649 and 32,387

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Solution

The third proportional to 21,649 and 32,387 is: 48,451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,649 : 32,387 = 32,387 : x
  2. Step 2: Convert to fraction form
    21,649/32,387 = 32,387/x
  3. Step 3: Cross multiply
    21,649x = 32,387 × 32,387
  4. Step 4: Simplify right side
    21,649x = 1,048,917,769
  5. Step 5: Solve for x
    x = 1,048,917,769/21,649
  6. Step 6: Final answer
    x = 48,451.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.