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Finding the Third Proportional to 34,524 and 75,609

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Solution

The third proportional to 34,524 and 75,609 is: 165,586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,524 : 75,609 = 75,609 : x
  2. Step 2: Convert to fraction form
    34,524/75,609 = 75,609/x
  3. Step 3: Cross multiply
    34,524x = 75,609 × 75,609
  4. Step 4: Simplify right side
    34,524x = 5,716,720,881
  5. Step 5: Solve for x
    x = 5,716,720,881/34,524
  6. Step 6: Final answer
    x = 165,586.86

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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.