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Finding the Third Proportional to 40,828 and 57,788

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Solution

The third proportional to 40,828 and 57,788 is: 81,793.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,828 : 57,788 = 57,788 : x
  2. Step 2: Convert to fraction form
    40,828/57,788 = 57,788/x
  3. Step 3: Cross multiply
    40,828x = 57,788 × 57,788
  4. Step 4: Simplify right side
    40,828x = 3,339,452,944
  5. Step 5: Solve for x
    x = 3,339,452,944/40,828
  6. Step 6: Final answer
    x = 81,793.20

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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.