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Finding the Third Proportional to 2,497 and 3,552

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Solution

The third proportional to 2,497 and 3,552 is: 5,052.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497 : 3,552 = 3,552 : x
  2. Step 2: Convert to fraction form
    2,497/3,552 = 3,552/x
  3. Step 3: Cross multiply
    2,497x = 3,552 × 3,552
  4. Step 4: Simplify right side
    2,497x = 12,616,704
  5. Step 5: Solve for x
    x = 12,616,704/2,497
  6. Step 6: Final answer
    x = 5,052.74

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.