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Finding the Third Proportional to 1,359.28 and 3,207.09

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Solution

The third proportional to 1,359.28 and 3,207.09 is: 7,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.28 : 3,207.09 = 3,207.09 : x
  2. Step 2: Convert to fraction form
    1,359.28/3,207.09 = 3,207.09/x
  3. Step 3: Cross multiply
    1,359.28x = 3,207.09 × 3,207.09
  4. Step 4: Simplify right side
    1,359.28x = 10,285,450.32
  5. Step 5: Solve for x
    x = 10,285,450.32/1,359.28
  6. Step 6: Final answer
    x = 7,566.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.