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Finding the Third Proportional to 20,523.38 and 27,732.38

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Solution

The third proportional to 20,523.38 and 27,732.38 is: 37,473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,523.38 : 27,732.38 = 27,732.38 : x
  2. Step 2: Convert to fraction form
    20,523.38/27,732.38 = 27,732.38/x
  3. Step 3: Cross multiply
    20,523.38x = 27,732.38 × 27,732.38
  4. Step 4: Simplify right side
    20,523.38x = 769,084,623.14
  5. Step 5: Solve for x
    x = 769,084,623.14/20,523.38
  6. Step 6: Final answer
    x = 37,473.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.