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Finding the Third Proportional to 40,883 and 61,328

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Solution

The third proportional to 40,883 and 61,328 is: 91,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,883 : 61,328 = 61,328 : x
  2. Step 2: Convert to fraction form
    40,883/61,328 = 61,328/x
  3. Step 3: Cross multiply
    40,883x = 61,328 × 61,328
  4. Step 4: Simplify right side
    40,883x = 3,761,123,584
  5. Step 5: Solve for x
    x = 3,761,123,584/40,883
  6. Step 6: Final answer
    x = 91,997.25

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