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Finding the Third Proportional to 13,538.25 and 20,724.75

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Solution

The third proportional to 13,538.25 and 20,724.75 is: 31,726.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.25 : 20,724.75 = 20,724.75 : x
  2. Step 2: Convert to fraction form
    13,538.25/20,724.75 = 20,724.75/x
  3. Step 3: Cross multiply
    13,538.25x = 20,724.75 × 20,724.75
  4. Step 4: Simplify right side
    13,538.25x = 429,515,262.56
  5. Step 5: Solve for x
    x = 429,515,262.56/13,538.25
  6. Step 6: Final answer
    x = 31,726.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.