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Finding the Third Proportional to 20,548.69 and 27,474.19

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Solution

The third proportional to 20,548.69 and 27,474.19 is: 36,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,548.69 : 27,474.19 = 27,474.19 : x
  2. Step 2: Convert to fraction form
    20,548.69/27,474.19 = 27,474.19/x
  3. Step 3: Cross multiply
    20,548.69x = 27,474.19 × 27,474.19
  4. Step 4: Simplify right side
    20,548.69x = 754,830,978.79
  5. Step 5: Solve for x
    x = 754,830,978.79/20,548.69
  6. Step 6: Final answer
    x = 36,733.78

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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.