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Finding the Third Proportional to 40,952 and 57,996

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Solution

The third proportional to 40,952 and 57,996 is: 82,133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,952 : 57,996 = 57,996 : x
  2. Step 2: Convert to fraction form
    40,952/57,996 = 57,996/x
  3. Step 3: Cross multiply
    40,952x = 57,996 × 57,996
  4. Step 4: Simplify right side
    40,952x = 3,363,536,016
  5. Step 5: Solve for x
    x = 3,363,536,016/40,952
  6. Step 6: Final answer
    x = 82,133.62

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.