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Finding the Third Proportional to 20,662 and 30,125

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Solution

The third proportional to 20,662 and 30,125 is: 43,921.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,662 : 30,125 = 30,125 : x
  2. Step 2: Convert to fraction form
    20,662/30,125 = 30,125/x
  3. Step 3: Cross multiply
    20,662x = 30,125 × 30,125
  4. Step 4: Simplify right side
    20,662x = 907,515,625
  5. Step 5: Solve for x
    x = 907,515,625/20,662
  6. Step 6: Final answer
    x = 43,921.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.