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Finding the Third Proportional to 22,154 and 47,382

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Solution

The third proportional to 22,154 and 47,382 is: 101,338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,154 : 47,382 = 47,382 : x
  2. Step 2: Convert to fraction form
    22,154/47,382 = 47,382/x
  3. Step 3: Cross multiply
    22,154x = 47,382 × 47,382
  4. Step 4: Simplify right side
    22,154x = 2,245,053,924
  5. Step 5: Solve for x
    x = 2,245,053,924/22,154
  6. Step 6: Final answer
    x = 101,338.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.