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Finding the Third Proportional to 22,192 and 30,830

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Solution

The third proportional to 22,192 and 30,830 is: 42,830.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,192 : 30,830 = 30,830 : x
  2. Step 2: Convert to fraction form
    22,192/30,830 = 30,830/x
  3. Step 3: Cross multiply
    22,192x = 30,830 × 30,830
  4. Step 4: Simplify right side
    22,192x = 950,488,900
  5. Step 5: Solve for x
    x = 950,488,900/22,192
  6. Step 6: Final answer
    x = 42,830.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.