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Finding the Third Proportional to 34,011 and 52,866

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Solution

The third proportional to 34,011 and 52,866 is: 82,173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,011 : 52,866 = 52,866 : x
  2. Step 2: Convert to fraction form
    34,011/52,866 = 52,866/x
  3. Step 3: Cross multiply
    34,011x = 52,866 × 52,866
  4. Step 4: Simplify right side
    34,011x = 2,794,813,956
  5. Step 5: Solve for x
    x = 2,794,813,956/34,011
  6. Step 6: Final answer
    x = 82,173.82

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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.