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Finding the Third Proportional to 2,454 and 3,727

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Solution

The third proportional to 2,454 and 3,727 is: 5,660.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454 : 3,727 = 3,727 : x
  2. Step 2: Convert to fraction form
    2,454/3,727 = 3,727/x
  3. Step 3: Cross multiply
    2,454x = 3,727 × 3,727
  4. Step 4: Simplify right side
    2,454x = 13,890,529
  5. Step 5: Solve for x
    x = 13,890,529/2,454
  6. Step 6: Final answer
    x = 5,660.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.