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Finding the Third Proportional to 21,691.50 and 32,451.75

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Solution

The third proportional to 21,691.50 and 32,451.75 is: 48,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,691.50 : 32,451.75 = 32,451.75 : x
  2. Step 2: Convert to fraction form
    21,691.50/32,451.75 = 32,451.75/x
  3. Step 3: Cross multiply
    21,691.50x = 32,451.75 × 32,451.75
  4. Step 4: Simplify right side
    21,691.50x = 1,053,116,078.06
  5. Step 5: Solve for x
    x = 1,053,116,078.06/21,691.50
  6. Step 6: Final answer
    x = 48,549.71

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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.