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Finding the Third Proportional to 30,149 and 34,529

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Solution

The third proportional to 30,149 and 34,529 is: 39,545.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,149 : 34,529 = 34,529 : x
  2. Step 2: Convert to fraction form
    30,149/34,529 = 34,529/x
  3. Step 3: Cross multiply
    30,149x = 34,529 × 34,529
  4. Step 4: Simplify right side
    30,149x = 1,192,251,841
  5. Step 5: Solve for x
    x = 1,192,251,841/30,149
  6. Step 6: Final answer
    x = 39,545.32

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.