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Finding the Third Proportional to 20,103.75 and 29,553.88

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Solution

The third proportional to 20,103.75 and 29,553.88 is: 43,446.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,103.75 : 29,553.88 = 29,553.88 : x
  2. Step 2: Convert to fraction form
    20,103.75/29,553.88 = 29,553.88/x
  3. Step 3: Cross multiply
    20,103.75x = 29,553.88 × 29,553.88
  4. Step 4: Simplify right side
    20,103.75x = 873,431,527.52
  5. Step 5: Solve for x
    x = 873,431,527.52/20,103.75
  6. Step 6: Final answer
    x = 43,446.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.