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Finding the Third Proportional to 3,387.29 and 4,136.93

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Solution

The third proportional to 3,387.29 and 4,136.93 is: 5,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.29 : 4,136.93 = 4,136.93 : x
  2. Step 2: Convert to fraction form
    3,387.29/4,136.93 = 4,136.93/x
  3. Step 3: Cross multiply
    3,387.29x = 4,136.93 × 4,136.93
  4. Step 4: Simplify right side
    3,387.29x = 17,114,211.48
  5. Step 5: Solve for x
    x = 17,114,211.48/3,387.29
  6. Step 6: Final answer
    x = 5,052.48

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.