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Finding the Third Proportional to 2,896.31 and 6,202.69

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Solution

The third proportional to 2,896.31 and 6,202.69 is: 13,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.31 : 6,202.69 = 6,202.69 : x
  2. Step 2: Convert to fraction form
    2,896.31/6,202.69 = 6,202.69/x
  3. Step 3: Cross multiply
    2,896.31x = 6,202.69 × 6,202.69
  4. Step 4: Simplify right side
    2,896.31x = 38,473,332.22
  5. Step 5: Solve for x
    x = 38,473,332.22/2,896.31
  6. Step 6: Final answer
    x = 13,283.56

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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.