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Finding the Third Proportional to 2,122.93 and 3,227.82

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Solution

The third proportional to 2,122.93 and 3,227.82 is: 4,907.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.93 : 3,227.82 = 3,227.82 : x
  2. Step 2: Convert to fraction form
    2,122.93/3,227.82 = 3,227.82/x
  3. Step 3: Cross multiply
    2,122.93x = 3,227.82 × 3,227.82
  4. Step 4: Simplify right side
    2,122.93x = 10,418,811.36
  5. Step 5: Solve for x
    x = 10,418,811.36/2,122.93
  6. Step 6: Final answer
    x = 4,907.76

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