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Finding the Third Proportional to 15,830 and 34,198

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Solution

The third proportional to 15,830 and 34,198 is: 73,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830 : 34,198 = 34,198 : x
  2. Step 2: Convert to fraction form
    15,830/34,198 = 34,198/x
  3. Step 3: Cross multiply
    15,830x = 34,198 × 34,198
  4. Step 4: Simplify right side
    15,830x = 1,169,503,204
  5. Step 5: Solve for x
    x = 1,169,503,204/15,830
  6. Step 6: Final answer
    x = 73,878.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.