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Finding the Third Proportional to 5,201.93 and 7,932.73

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Solution

The third proportional to 5,201.93 and 7,932.73 is: 12,097.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.93 : 7,932.73 = 7,932.73 : x
  2. Step 2: Convert to fraction form
    5,201.93/7,932.73 = 7,932.73/x
  3. Step 3: Cross multiply
    5,201.93x = 7,932.73 × 7,932.73
  4. Step 4: Simplify right side
    5,201.93x = 62,928,150.72
  5. Step 5: Solve for x
    x = 62,928,150.72/5,201.93
  6. Step 6: Final answer
    x = 12,097.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.