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Finding the Third Proportional to 2,524 and 4,496

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Solution

The third proportional to 2,524 and 4,496 is: 8,008.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524 : 4,496 = 4,496 : x
  2. Step 2: Convert to fraction form
    2,524/4,496 = 4,496/x
  3. Step 3: Cross multiply
    2,524x = 4,496 × 4,496
  4. Step 4: Simplify right side
    2,524x = 20,214,016
  5. Step 5: Solve for x
    x = 20,214,016/2,524
  6. Step 6: Final answer
    x = 8,008.72

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.