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Finding the Third Proportional to 40,831 and 63,062

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Solution

The third proportional to 40,831 and 63,062 is: 97,396.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,831 : 63,062 = 63,062 : x
  2. Step 2: Convert to fraction form
    40,831/63,062 = 63,062/x
  3. Step 3: Cross multiply
    40,831x = 63,062 × 63,062
  4. Step 4: Simplify right side
    40,831x = 3,976,815,844
  5. Step 5: Solve for x
    x = 3,976,815,844/40,831
  6. Step 6: Final answer
    x = 97,396.97

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.