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Finding the Third Proportional to 31,198 and 48,001

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Solution

The third proportional to 31,198 and 48,001 is: 73,853.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,198 : 48,001 = 48,001 : x
  2. Step 2: Convert to fraction form
    31,198/48,001 = 48,001/x
  3. Step 3: Cross multiply
    31,198x = 48,001 × 48,001
  4. Step 4: Simplify right side
    31,198x = 2,304,096,001
  5. Step 5: Solve for x
    x = 2,304,096,001/31,198
  6. Step 6: Final answer
    x = 73,853.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.