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Finding the Third Proportional to 24,181.88 and 37,366.31

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Solution

The third proportional to 24,181.88 and 37,366.31 is: 57,739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,181.88 : 37,366.31 = 37,366.31 : x
  2. Step 2: Convert to fraction form
    24,181.88/37,366.31 = 37,366.31/x
  3. Step 3: Cross multiply
    24,181.88x = 37,366.31 × 37,366.31
  4. Step 4: Simplify right side
    24,181.88x = 1,396,241,309.85
  5. Step 5: Solve for x
    x = 1,396,241,309.85/24,181.88
  6. Step 6: Final answer
    x = 57,739.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.