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Finding the Third Proportional to 20,436.05 and 27,462.80

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Solution

The third proportional to 20,436.05 and 27,462.80 is: 36,905.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,436.05 : 27,462.80 = 27,462.80 : x
  2. Step 2: Convert to fraction form
    20,436.05/27,462.80 = 27,462.80/x
  3. Step 3: Cross multiply
    20,436.05x = 27,462.80 × 27,462.80
  4. Step 4: Simplify right side
    20,436.05x = 754,205,212.20
  5. Step 5: Solve for x
    x = 754,205,212.20/20,436.05
  6. Step 6: Final answer
    x = 36,905.63

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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.