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Finding the Third Proportional to 2,597 and 3,898

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Solution

The third proportional to 2,597 and 3,898 is: 5,850.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597 : 3,898 = 3,898 : x
  2. Step 2: Convert to fraction form
    2,597/3,898 = 3,898/x
  3. Step 3: Cross multiply
    2,597x = 3,898 × 3,898
  4. Step 4: Simplify right side
    2,597x = 15,194,404
  5. Step 5: Solve for x
    x = 15,194,404/2,597
  6. Step 6: Final answer
    x = 5,850.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.