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Finding the Third Proportional to 9,834 and 15,718

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Solution

The third proportional to 9,834 and 15,718 is: 25,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834 : 15,718 = 15,718 : x
  2. Step 2: Convert to fraction form
    9,834/15,718 = 15,718/x
  3. Step 3: Cross multiply
    9,834x = 15,718 × 15,718
  4. Step 4: Simplify right side
    9,834x = 247,055,524
  5. Step 5: Solve for x
    x = 247,055,524/9,834
  6. Step 6: Final answer
    x = 25,122.59

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.