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Finding the Third Proportional to 4,136.81 and 9,757.13

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Solution

The third proportional to 4,136.81 and 9,757.13 is: 23,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.81 : 9,757.13 = 9,757.13 : x
  2. Step 2: Convert to fraction form
    4,136.81/9,757.13 = 9,757.13/x
  3. Step 3: Cross multiply
    4,136.81x = 9,757.13 × 9,757.13
  4. Step 4: Simplify right side
    4,136.81x = 95,201,488.27
  5. Step 5: Solve for x
    x = 95,201,488.27/4,136.81
  6. Step 6: Final answer
    x = 23,013.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.