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Finding the Third Proportional to 22,255.88 and 29,728.13

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Solution

The third proportional to 22,255.88 and 29,728.13 is: 39,709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,255.88 : 29,728.13 = 29,728.13 : x
  2. Step 2: Convert to fraction form
    22,255.88/29,728.13 = 29,728.13/x
  3. Step 3: Cross multiply
    22,255.88x = 29,728.13 × 29,728.13
  4. Step 4: Simplify right side
    22,255.88x = 883,761,416.02
  5. Step 5: Solve for x
    x = 883,761,416.02/22,255.88
  6. Step 6: Final answer
    x = 39,709.13

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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.