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Finding the Third Proportional to 47,988 and 71,949

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Solution

The third proportional to 47,988 and 71,949 is: 107,874.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,988 : 71,949 = 71,949 : x
  2. Step 2: Convert to fraction form
    47,988/71,949 = 71,949/x
  3. Step 3: Cross multiply
    47,988x = 71,949 × 71,949
  4. Step 4: Simplify right side
    47,988x = 5,176,658,601
  5. Step 5: Solve for x
    x = 5,176,658,601/47,988
  6. Step 6: Final answer
    x = 107,874.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.