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Finding the Third Proportional to 21,846 and 32,691

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Solution

The third proportional to 21,846 and 32,691 is: 48,919.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,846 : 32,691 = 32,691 : x
  2. Step 2: Convert to fraction form
    21,846/32,691 = 32,691/x
  3. Step 3: Cross multiply
    21,846x = 32,691 × 32,691
  4. Step 4: Simplify right side
    21,846x = 1,068,701,481
  5. Step 5: Solve for x
    x = 1,068,701,481/21,846
  6. Step 6: Final answer
    x = 48,919.78

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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.