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Finding the Third Proportional to 20,277 and 27,123.47

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Solution

The third proportional to 20,277 and 27,123.47 is: 36,281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,277 : 27,123.47 = 27,123.47 : x
  2. Step 2: Convert to fraction form
    20,277/27,123.47 = 27,123.47/x
  3. Step 3: Cross multiply
    20,277x = 27,123.47 × 27,123.47
  4. Step 4: Simplify right side
    20,277x = 735,682,557.03
  5. Step 5: Solve for x
    x = 735,682,557.03/20,277
  6. Step 6: Final answer
    x = 36,281.63

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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.