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Finding the Third Proportional to 20,952 and 47,382

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Solution

The third proportional to 20,952 and 47,382 is: 107,152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,952 : 47,382 = 47,382 : x
  2. Step 2: Convert to fraction form
    20,952/47,382 = 47,382/x
  3. Step 3: Cross multiply
    20,952x = 47,382 × 47,382
  4. Step 4: Simplify right side
    20,952x = 2,245,053,924
  5. Step 5: Solve for x
    x = 2,245,053,924/20,952
  6. Step 6: Final answer
    x = 107,152.25

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.