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Finding the Third Proportional to 40,252 and 58,055

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Solution

The third proportional to 40,252 and 58,055 is: 83,732.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,252 : 58,055 = 58,055 : x
  2. Step 2: Convert to fraction form
    40,252/58,055 = 58,055/x
  3. Step 3: Cross multiply
    40,252x = 58,055 × 58,055
  4. Step 4: Simplify right side
    40,252x = 3,370,383,025
  5. Step 5: Solve for x
    x = 3,370,383,025/40,252
  6. Step 6: Final answer
    x = 83,732.06

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.