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Finding the Third Proportional to 1,330.57 and 2,843.38

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Solution

The third proportional to 1,330.57 and 2,843.38 is: 6,076.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.57 : 2,843.38 = 2,843.38 : x
  2. Step 2: Convert to fraction form
    1,330.57/2,843.38 = 2,843.38/x
  3. Step 3: Cross multiply
    1,330.57x = 2,843.38 × 2,843.38
  4. Step 4: Simplify right side
    1,330.57x = 8,084,836.93
  5. Step 5: Solve for x
    x = 8,084,836.93/1,330.57
  6. Step 6: Final answer
    x = 6,076.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.