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Finding the Third Proportional to 22,393 and 34,035

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Solution

The third proportional to 22,393 and 34,035 is: 51,729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,393 : 34,035 = 34,035 : x
  2. Step 2: Convert to fraction form
    22,393/34,035 = 34,035/x
  3. Step 3: Cross multiply
    22,393x = 34,035 × 34,035
  4. Step 4: Simplify right side
    22,393x = 1,158,381,225
  5. Step 5: Solve for x
    x = 1,158,381,225/22,393
  6. Step 6: Final answer
    x = 51,729.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.