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Finding the Third Proportional to 40,916 and 55,533

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Solution

The third proportional to 40,916 and 55,533 is: 75,371.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,916 : 55,533 = 55,533 : x
  2. Step 2: Convert to fraction form
    40,916/55,533 = 55,533/x
  3. Step 3: Cross multiply
    40,916x = 55,533 × 55,533
  4. Step 4: Simplify right side
    40,916x = 3,083,914,089
  5. Step 5: Solve for x
    x = 3,083,914,089/40,916
  6. Step 6: Final answer
    x = 75,371.84

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.