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Finding the Third Proportional to 22,137 and 34,277

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Solution

The third proportional to 22,137 and 34,277 is: 53,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,137 : 34,277 = 34,277 : x
  2. Step 2: Convert to fraction form
    22,137/34,277 = 34,277/x
  3. Step 3: Cross multiply
    22,137x = 34,277 × 34,277
  4. Step 4: Simplify right side
    22,137x = 1,174,912,729
  5. Step 5: Solve for x
    x = 1,174,912,729/22,137
  6. Step 6: Final answer
    x = 53,074.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.