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Finding the Third Proportional to 24,074 and 36,185

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Solution

The third proportional to 24,074 and 36,185 is: 54,388.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,074 : 36,185 = 36,185 : x
  2. Step 2: Convert to fraction form
    24,074/36,185 = 36,185/x
  3. Step 3: Cross multiply
    24,074x = 36,185 × 36,185
  4. Step 4: Simplify right side
    24,074x = 1,309,354,225
  5. Step 5: Solve for x
    x = 1,309,354,225/24,074
  6. Step 6: Final answer
    x = 54,388.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.