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Finding the Third Proportional to 40,282 and 57,795

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Solution

The third proportional to 40,282 and 57,795 is: 82,921.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,282 : 57,795 = 57,795 : x
  2. Step 2: Convert to fraction form
    40,282/57,795 = 57,795/x
  3. Step 3: Cross multiply
    40,282x = 57,795 × 57,795
  4. Step 4: Simplify right side
    40,282x = 3,340,262,025
  5. Step 5: Solve for x
    x = 3,340,262,025/40,282
  6. Step 6: Final answer
    x = 82,921.95

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.