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Finding the Third Proportional to 23,722 and 34,359

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Solution

The third proportional to 23,722 and 34,359 is: 49,765.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,722 : 34,359 = 34,359 : x
  2. Step 2: Convert to fraction form
    23,722/34,359 = 34,359/x
  3. Step 3: Cross multiply
    23,722x = 34,359 × 34,359
  4. Step 4: Simplify right side
    23,722x = 1,180,540,881
  5. Step 5: Solve for x
    x = 1,180,540,881/23,722
  6. Step 6: Final answer
    x = 49,765.66

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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.