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Finding the Third Proportional to 2,614.62 and 3,727.11

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Solution

The third proportional to 2,614.62 and 3,727.11 is: 5,312.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.62 : 3,727.11 = 3,727.11 : x
  2. Step 2: Convert to fraction form
    2,614.62/3,727.11 = 3,727.11/x
  3. Step 3: Cross multiply
    2,614.62x = 3,727.11 × 3,727.11
  4. Step 4: Simplify right side
    2,614.62x = 13,891,329.73
  5. Step 5: Solve for x
    x = 13,891,329.73/2,614.62
  6. Step 6: Final answer
    x = 5,312.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.