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Finding the Third Proportional to 1,330.17 and 3,207.73

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Solution

The third proportional to 1,330.17 and 3,207.73 is: 7,735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.17 : 3,207.73 = 3,207.73 : x
  2. Step 2: Convert to fraction form
    1,330.17/3,207.73 = 3,207.73/x
  3. Step 3: Cross multiply
    1,330.17x = 3,207.73 × 3,207.73
  4. Step 4: Simplify right side
    1,330.17x = 10,289,509.70
  5. Step 5: Solve for x
    x = 10,289,509.70/1,330.17
  6. Step 6: Final answer
    x = 7,735.47

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.