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Finding the Third Proportional to 2,497 and 5,251

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Solution

The third proportional to 2,497 and 5,251 is: 11,042.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497 : 5,251 = 5,251 : x
  2. Step 2: Convert to fraction form
    2,497/5,251 = 5,251/x
  3. Step 3: Cross multiply
    2,497x = 5,251 × 5,251
  4. Step 4: Simplify right side
    2,497x = 27,573,001
  5. Step 5: Solve for x
    x = 27,573,001/2,497
  6. Step 6: Final answer
    x = 11,042.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.