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Finding the Third Proportional to 8,691.05 and 14,095.27

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Solution

The third proportional to 8,691.05 and 14,095.27 is: 22,859.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.05 : 14,095.27 = 14,095.27 : x
  2. Step 2: Convert to fraction form
    8,691.05/14,095.27 = 14,095.27/x
  3. Step 3: Cross multiply
    8,691.05x = 14,095.27 × 14,095.27
  4. Step 4: Simplify right side
    8,691.05x = 198,676,513.04
  5. Step 5: Solve for x
    x = 198,676,513.04/8,691.05
  6. Step 6: Final answer
    x = 22,859.91

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.