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Finding the Third Proportional to 9,684 and 15,474

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Solution

The third proportional to 9,684 and 15,474 is: 24,725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684 : 15,474 = 15,474 : x
  2. Step 2: Convert to fraction form
    9,684/15,474 = 15,474/x
  3. Step 3: Cross multiply
    9,684x = 15,474 × 15,474
  4. Step 4: Simplify right side
    9,684x = 239,444,676
  5. Step 5: Solve for x
    x = 239,444,676/9,684
  6. Step 6: Final answer
    x = 24,725.80

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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.