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Finding the Third Proportional to 2,497 and 5,140

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Solution

The third proportional to 2,497 and 5,140 is: 10,580.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497 : 5,140 = 5,140 : x
  2. Step 2: Convert to fraction form
    2,497/5,140 = 5,140/x
  3. Step 3: Cross multiply
    2,497x = 5,140 × 5,140
  4. Step 4: Simplify right side
    2,497x = 26,419,600
  5. Step 5: Solve for x
    x = 26,419,600/2,497
  6. Step 6: Final answer
    x = 10,580.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.