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Finding the Third Proportional to 49,856 and 74,001

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Solution

The third proportional to 49,856 and 74,001 is: 109,839.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,856 : 74,001 = 74,001 : x
  2. Step 2: Convert to fraction form
    49,856/74,001 = 74,001/x
  3. Step 3: Cross multiply
    49,856x = 74,001 × 74,001
  4. Step 4: Simplify right side
    49,856x = 5,476,148,001
  5. Step 5: Solve for x
    x = 5,476,148,001/49,856
  6. Step 6: Final answer
    x = 109,839.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.