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Finding the Third Proportional to 9,947 and 22,081

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Solution

The third proportional to 9,947 and 22,081 is: 49,016.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947 : 22,081 = 22,081 : x
  2. Step 2: Convert to fraction form
    9,947/22,081 = 22,081/x
  3. Step 3: Cross multiply
    9,947x = 22,081 × 22,081
  4. Step 4: Simplify right side
    9,947x = 487,570,561
  5. Step 5: Solve for x
    x = 487,570,561/9,947
  6. Step 6: Final answer
    x = 49,016.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.