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Finding the Third Proportional to 8,088.75 and 17,691.38

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Solution

The third proportional to 8,088.75 and 17,691.38 is: 38,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,088.75 : 17,691.38 = 17,691.38 : x
  2. Step 2: Convert to fraction form
    8,088.75/17,691.38 = 17,691.38/x
  3. Step 3: Cross multiply
    8,088.75x = 17,691.38 × 17,691.38
  4. Step 4: Simplify right side
    8,088.75x = 312,984,749.39
  5. Step 5: Solve for x
    x = 312,984,749.39/8,088.75
  6. Step 6: Final answer
    x = 38,693.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.