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Finding the Third Proportional to 22,612 and 33,241

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Solution

The third proportional to 22,612 and 33,241 is: 48,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612 : 33,241 = 33,241 : x
  2. Step 2: Convert to fraction form
    22,612/33,241 = 33,241/x
  3. Step 3: Cross multiply
    22,612x = 33,241 × 33,241
  4. Step 4: Simplify right side
    22,612x = 1,104,964,081
  5. Step 5: Solve for x
    x = 1,104,964,081/22,612
  6. Step 6: Final answer
    x = 48,866.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.