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Finding the Third Proportional to 24,959 and 33,226

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Solution

The third proportional to 24,959 and 33,226 is: 44,231.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,959 : 33,226 = 33,226 : x
  2. Step 2: Convert to fraction form
    24,959/33,226 = 33,226/x
  3. Step 3: Cross multiply
    24,959x = 33,226 × 33,226
  4. Step 4: Simplify right side
    24,959x = 1,103,967,076
  5. Step 5: Solve for x
    x = 1,103,967,076/24,959
  6. Step 6: Final answer
    x = 44,231.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.