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Finding the Third Proportional to 5,538 and 10,800.75

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Solution

The third proportional to 5,538 and 10,800.75 is: 21,064.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538 : 10,800.75 = 10,800.75 : x
  2. Step 2: Convert to fraction form
    5,538/10,800.75 = 10,800.75/x
  3. Step 3: Cross multiply
    5,538x = 10,800.75 × 10,800.75
  4. Step 4: Simplify right side
    5,538x = 116,656,200.56
  5. Step 5: Solve for x
    x = 116,656,200.56/5,538
  6. Step 6: Final answer
    x = 21,064.68

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.