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Finding the Third Proportional to 2,760.50 and 3,932.50

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Solution

The third proportional to 2,760.50 and 3,932.50 is: 5,602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.50 : 3,932.50 = 3,932.50 : x
  2. Step 2: Convert to fraction form
    2,760.50/3,932.50 = 3,932.50/x
  3. Step 3: Cross multiply
    2,760.50x = 3,932.50 × 3,932.50
  4. Step 4: Simplify right side
    2,760.50x = 15,464,556.25
  5. Step 5: Solve for x
    x = 15,464,556.25/2,760.50
  6. Step 6: Final answer
    x = 5,602.09

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.