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Finding the Third Proportional to 7,120.13 and 10,711.69

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Solution

The third proportional to 7,120.13 and 10,711.69 is: 16,114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.13 : 10,711.69 = 10,711.69 : x
  2. Step 2: Convert to fraction form
    7,120.13/10,711.69 = 10,711.69/x
  3. Step 3: Cross multiply
    7,120.13x = 10,711.69 × 10,711.69
  4. Step 4: Simplify right side
    7,120.13x = 114,740,249.10
  5. Step 5: Solve for x
    x = 114,740,249.10/7,120.13
  6. Step 6: Final answer
    x = 16,114.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.