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Finding the Third Proportional to 8,278.14 and 9,136.71

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Solution

The third proportional to 8,278.14 and 9,136.71 is: 10,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.14 : 9,136.71 = 9,136.71 : x
  2. Step 2: Convert to fraction form
    8,278.14/9,136.71 = 9,136.71/x
  3. Step 3: Cross multiply
    8,278.14x = 9,136.71 × 9,136.71
  4. Step 4: Simplify right side
    8,278.14x = 83,479,379.68
  5. Step 5: Solve for x
    x = 83,479,379.68/8,278.14
  6. Step 6: Final answer
    x = 10,084.32

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.