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Finding the Third Proportional to 9,738 and 15,422

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Solution

The third proportional to 9,738 and 15,422 is: 24,423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738 : 15,422 = 15,422 : x
  2. Step 2: Convert to fraction form
    9,738/15,422 = 15,422/x
  3. Step 3: Cross multiply
    9,738x = 15,422 × 15,422
  4. Step 4: Simplify right side
    9,738x = 237,838,084
  5. Step 5: Solve for x
    x = 237,838,084/9,738
  6. Step 6: Final answer
    x = 24,423.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.