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Finding the Third Proportional to 2,449 and 3,731

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Solution

The third proportional to 2,449 and 3,731 is: 5,684.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449 : 3,731 = 3,731 : x
  2. Step 2: Convert to fraction form
    2,449/3,731 = 3,731/x
  3. Step 3: Cross multiply
    2,449x = 3,731 × 3,731
  4. Step 4: Simplify right side
    2,449x = 13,920,361
  5. Step 5: Solve for x
    x = 13,920,361/2,449
  6. Step 6: Final answer
    x = 5,684.10

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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.