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Finding the Third Proportional to 22,612 and 32,890

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Solution

The third proportional to 22,612 and 32,890 is: 47,839.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612 : 32,890 = 32,890 : x
  2. Step 2: Convert to fraction form
    22,612/32,890 = 32,890/x
  3. Step 3: Cross multiply
    22,612x = 32,890 × 32,890
  4. Step 4: Simplify right side
    22,612x = 1,081,752,100
  5. Step 5: Solve for x
    x = 1,081,752,100/22,612
  6. Step 6: Final answer
    x = 47,839.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.