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Finding the Third Proportional to 40,880 and 57,972

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Solution

The third proportional to 40,880 and 57,972 is: 82,210.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,880 : 57,972 = 57,972 : x
  2. Step 2: Convert to fraction form
    40,880/57,972 = 57,972/x
  3. Step 3: Cross multiply
    40,880x = 57,972 × 57,972
  4. Step 4: Simplify right side
    40,880x = 3,360,752,784
  5. Step 5: Solve for x
    x = 3,360,752,784/40,880
  6. Step 6: Final answer
    x = 82,210.20

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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.