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Finding the Third Proportional to 2,128.78 and 3,295.69

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Solution

The third proportional to 2,128.78 and 3,295.69 is: 5,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.78 : 3,295.69 = 3,295.69 : x
  2. Step 2: Convert to fraction form
    2,128.78/3,295.69 = 3,295.69/x
  3. Step 3: Cross multiply
    2,128.78x = 3,295.69 × 3,295.69
  4. Step 4: Simplify right side
    2,128.78x = 10,861,556.10
  5. Step 5: Solve for x
    x = 10,861,556.10/2,128.78
  6. Step 6: Final answer
    x = 5,102.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.