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Finding the Third Proportional to 22,260 and 31,311

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Solution

The third proportional to 22,260 and 31,311 is: 44,042.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,260 : 31,311 = 31,311 : x
  2. Step 2: Convert to fraction form
    22,260/31,311 = 31,311/x
  3. Step 3: Cross multiply
    22,260x = 31,311 × 31,311
  4. Step 4: Simplify right side
    22,260x = 980,378,721
  5. Step 5: Solve for x
    x = 980,378,721/22,260
  6. Step 6: Final answer
    x = 44,042.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.