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Finding the Third Proportional to 4,162 and 9,748

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Solution

The third proportional to 4,162 and 9,748 is: 22,831.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162 : 9,748 = 9,748 : x
  2. Step 2: Convert to fraction form
    4,162/9,748 = 9,748/x
  3. Step 3: Cross multiply
    4,162x = 9,748 × 9,748
  4. Step 4: Simplify right side
    4,162x = 95,023,504
  5. Step 5: Solve for x
    x = 95,023,504/4,162
  6. Step 6: Final answer
    x = 22,831.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.