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Finding the Third Proportional to 24,856 and 32,254

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Solution

The third proportional to 24,856 and 32,254 is: 41,853.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,856 : 32,254 = 32,254 : x
  2. Step 2: Convert to fraction form
    24,856/32,254 = 32,254/x
  3. Step 3: Cross multiply
    24,856x = 32,254 × 32,254
  4. Step 4: Simplify right side
    24,856x = 1,040,320,516
  5. Step 5: Solve for x
    x = 1,040,320,516/24,856
  6. Step 6: Final answer
    x = 41,853.90

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.