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Finding the Third Proportional to 4,006.13 and 8,695.69

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Solution

The third proportional to 4,006.13 and 8,695.69 is: 18,874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.13 : 8,695.69 = 8,695.69 : x
  2. Step 2: Convert to fraction form
    4,006.13/8,695.69 = 8,695.69/x
  3. Step 3: Cross multiply
    4,006.13x = 8,695.69 × 8,695.69
  4. Step 4: Simplify right side
    4,006.13x = 75,614,981.10
  5. Step 5: Solve for x
    x = 75,614,981.10/4,006.13
  6. Step 6: Final answer
    x = 18,874.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.