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Finding the Third Proportional to 22,277 and 39,599

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Solution

The third proportional to 22,277 and 39,599 is: 70,390.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,277 : 39,599 = 39,599 : x
  2. Step 2: Convert to fraction form
    22,277/39,599 = 39,599/x
  3. Step 3: Cross multiply
    22,277x = 39,599 × 39,599
  4. Step 4: Simplify right side
    22,277x = 1,568,080,801
  5. Step 5: Solve for x
    x = 1,568,080,801/22,277
  6. Step 6: Final answer
    x = 70,390.12

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.