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Finding the Third Proportional to 4,227.35 and 9,136.71

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Solution

The third proportional to 4,227.35 and 9,136.71 is: 19,747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.35 : 9,136.71 = 9,136.71 : x
  2. Step 2: Convert to fraction form
    4,227.35/9,136.71 = 9,136.71/x
  3. Step 3: Cross multiply
    4,227.35x = 9,136.71 × 9,136.71
  4. Step 4: Simplify right side
    4,227.35x = 83,479,379.68
  5. Step 5: Solve for x
    x = 83,479,379.68/4,227.35
  6. Step 6: Final answer
    x = 19,747.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.