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Finding the Third Proportional to 2,833.31 and 6,232.57

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Solution

The third proportional to 2,833.31 and 6,232.57 is: 13,710.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.31 : 6,232.57 = 6,232.57 : x
  2. Step 2: Convert to fraction form
    2,833.31/6,232.57 = 6,232.57/x
  3. Step 3: Cross multiply
    2,833.31x = 6,232.57 × 6,232.57
  4. Step 4: Simplify right side
    2,833.31x = 38,844,932.70
  5. Step 5: Solve for x
    x = 38,844,932.70/2,833.31
  6. Step 6: Final answer
    x = 13,710.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.