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Finding the Third Proportional to 21,691.13 and 32,887.69

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Solution

The third proportional to 21,691.13 and 32,887.69 is: 49,863.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,691.13 : 32,887.69 = 32,887.69 : x
  2. Step 2: Convert to fraction form
    21,691.13/32,887.69 = 32,887.69/x
  3. Step 3: Cross multiply
    21,691.13x = 32,887.69 × 32,887.69
  4. Step 4: Simplify right side
    21,691.13x = 1,081,599,989.10
  5. Step 5: Solve for x
    x = 1,081,599,989.10/21,691.13
  6. Step 6: Final answer
    x = 49,863.71

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.