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Finding the Third Proportional to 40,138 and 57,048

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Solution

The third proportional to 40,138 and 57,048 is: 81,082.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,138 : 57,048 = 57,048 : x
  2. Step 2: Convert to fraction form
    40,138/57,048 = 57,048/x
  3. Step 3: Cross multiply
    40,138x = 57,048 × 57,048
  4. Step 4: Simplify right side
    40,138x = 3,254,474,304
  5. Step 5: Solve for x
    x = 3,254,474,304/40,138
  6. Step 6: Final answer
    x = 81,082.12

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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.