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Finding the Third Proportional to 20,544 and 32,760

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Solution

The third proportional to 20,544 and 32,760 is: 52,239.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,544 : 32,760 = 32,760 : x
  2. Step 2: Convert to fraction form
    20,544/32,760 = 32,760/x
  3. Step 3: Cross multiply
    20,544x = 32,760 × 32,760
  4. Step 4: Simplify right side
    20,544x = 1,073,217,600
  5. Step 5: Solve for x
    x = 1,073,217,600/20,544
  6. Step 6: Final answer
    x = 52,239.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.