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Finding the Third Proportional to 37,978 and 60,443

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Solution

The third proportional to 37,978 and 60,443 is: 96,196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,978 : 60,443 = 60,443 : x
  2. Step 2: Convert to fraction form
    37,978/60,443 = 60,443/x
  3. Step 3: Cross multiply
    37,978x = 60,443 × 60,443
  4. Step 4: Simplify right side
    37,978x = 3,653,356,249
  5. Step 5: Solve for x
    x = 3,653,356,249/37,978
  6. Step 6: Final answer
    x = 96,196.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.