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Finding the Third Proportional to 20,142 and 28,225

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Solution

The third proportional to 20,142 and 28,225 is: 39,551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142 : 28,225 = 28,225 : x
  2. Step 2: Convert to fraction form
    20,142/28,225 = 28,225/x
  3. Step 3: Cross multiply
    20,142x = 28,225 × 28,225
  4. Step 4: Simplify right side
    20,142x = 796,650,625
  5. Step 5: Solve for x
    x = 796,650,625/20,142
  6. Step 6: Final answer
    x = 39,551.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.