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Finding the Third Proportional to 20,278.50 and 27,125

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Solution

The third proportional to 20,278.50 and 27,125 is: 36,283.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,278.50 : 27,125 = 27,125 : x
  2. Step 2: Convert to fraction form
    20,278.50/27,125 = 27,125/x
  3. Step 3: Cross multiply
    20,278.50x = 27,125 × 27,125
  4. Step 4: Simplify right side
    20,278.50x = 735,765,625
  5. Step 5: Solve for x
    x = 735,765,625/20,278.50
  6. Step 6: Final answer
    x = 36,283.04

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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.