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Finding the Third Proportional to 40,694 and 61,001

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Solution

The third proportional to 40,694 and 61,001 is: 91,441.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,694 : 61,001 = 61,001 : x
  2. Step 2: Convert to fraction form
    40,694/61,001 = 61,001/x
  3. Step 3: Cross multiply
    40,694x = 61,001 × 61,001
  4. Step 4: Simplify right side
    40,694x = 3,721,122,001
  5. Step 5: Solve for x
    x = 3,721,122,001/40,694
  6. Step 6: Final answer
    x = 91,441.54

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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.