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Finding the Third Proportional to 34,586 and 52,882

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Solution

The third proportional to 34,586 and 52,882 is: 80,856.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,586 : 52,882 = 52,882 : x
  2. Step 2: Convert to fraction form
    34,586/52,882 = 52,882/x
  3. Step 3: Cross multiply
    34,586x = 52,882 × 52,882
  4. Step 4: Simplify right side
    34,586x = 2,796,505,924
  5. Step 5: Solve for x
    x = 2,796,505,924/34,586
  6. Step 6: Final answer
    x = 80,856.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.