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Finding the Third Proportional to 34,586 and 75,682

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Solution

The third proportional to 34,586 and 75,682 is: 165,609.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,586 : 75,682 = 75,682 : x
  2. Step 2: Convert to fraction form
    34,586/75,682 = 75,682/x
  3. Step 3: Cross multiply
    34,586x = 75,682 × 75,682
  4. Step 4: Simplify right side
    34,586x = 5,727,765,124
  5. Step 5: Solve for x
    x = 5,727,765,124/34,586
  6. Step 6: Final answer
    x = 165,609.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.