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Finding the Third Proportional to 22,204.13 and 29,911.78

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Solution

The third proportional to 22,204.13 and 29,911.78 is: 40,294.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,204.13 : 29,911.78 = 29,911.78 : x
  2. Step 2: Convert to fraction form
    22,204.13/29,911.78 = 29,911.78/x
  3. Step 3: Cross multiply
    22,204.13x = 29,911.78 × 29,911.78
  4. Step 4: Simplify right side
    22,204.13x = 894,714,657.55
  5. Step 5: Solve for x
    x = 894,714,657.55/22,204.13
  6. Step 6: Final answer
    x = 40,294.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.