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Finding the Third Proportional to 22,012 and 29,508

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Solution

The third proportional to 22,012 and 29,508 is: 39,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,012 : 29,508 = 29,508 : x
  2. Step 2: Convert to fraction form
    22,012/29,508 = 29,508/x
  3. Step 3: Cross multiply
    22,012x = 29,508 × 29,508
  4. Step 4: Simplify right side
    22,012x = 870,722,064
  5. Step 5: Solve for x
    x = 870,722,064/22,012
  6. Step 6: Final answer
    x = 39,556.70

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.