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Finding the Third Proportional to 19,800 and 29,612

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Solution

The third proportional to 19,800 and 29,612 is: 44,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,800 : 29,612 = 29,612 : x
  2. Step 2: Convert to fraction form
    19,800/29,612 = 29,612/x
  3. Step 3: Cross multiply
    19,800x = 29,612 × 29,612
  4. Step 4: Simplify right side
    19,800x = 876,870,544
  5. Step 5: Solve for x
    x = 876,870,544/19,800
  6. Step 6: Final answer
    x = 44,286.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.