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Finding the Third Proportional to 15,864 and 34,496

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Solution

The third proportional to 15,864 and 34,496 is: 75,010.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,864 : 34,496 = 34,496 : x
  2. Step 2: Convert to fraction form
    15,864/34,496 = 34,496/x
  3. Step 3: Cross multiply
    15,864x = 34,496 × 34,496
  4. Step 4: Simplify right side
    15,864x = 1,189,974,016
  5. Step 5: Solve for x
    x = 1,189,974,016/15,864
  6. Step 6: Final answer
    x = 75,010.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.