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Finding the Third Proportional to 6,897 and 15,081

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Solution

The third proportional to 6,897 and 15,081 is: 32,976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897 : 15,081 = 15,081 : x
  2. Step 2: Convert to fraction form
    6,897/15,081 = 15,081/x
  3. Step 3: Cross multiply
    6,897x = 15,081 × 15,081
  4. Step 4: Simplify right side
    6,897x = 227,436,561
  5. Step 5: Solve for x
    x = 227,436,561/6,897
  6. Step 6: Final answer
    x = 32,976.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.