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Finding the Third Proportional to 11,897 and 17,880

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Solution

The third proportional to 11,897 and 17,880 is: 26,871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897 : 17,880 = 17,880 : x
  2. Step 2: Convert to fraction form
    11,897/17,880 = 17,880/x
  3. Step 3: Cross multiply
    11,897x = 17,880 × 17,880
  4. Step 4: Simplify right side
    11,897x = 319,694,400
  5. Step 5: Solve for x
    x = 319,694,400/11,897
  6. Step 6: Final answer
    x = 26,871.85

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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.