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Finding the Third Proportional to 22,900 and 30,540

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Solution

The third proportional to 22,900 and 30,540 is: 40,728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,900 : 30,540 = 30,540 : x
  2. Step 2: Convert to fraction form
    22,900/30,540 = 30,540/x
  3. Step 3: Cross multiply
    22,900x = 30,540 × 30,540
  4. Step 4: Simplify right side
    22,900x = 932,691,600
  5. Step 5: Solve for x
    x = 932,691,600/22,900
  6. Step 6: Final answer
    x = 40,728.89

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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.