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Finding the Third Proportional to 2,497 and 2,765

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Solution

The third proportional to 2,497 and 2,765 is: 3,061.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497 : 2,765 = 2,765 : x
  2. Step 2: Convert to fraction form
    2,497/2,765 = 2,765/x
  3. Step 3: Cross multiply
    2,497x = 2,765 × 2,765
  4. Step 4: Simplify right side
    2,497x = 7,645,225
  5. Step 5: Solve for x
    x = 7,645,225/2,497
  6. Step 6: Final answer
    x = 3,061.76

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.