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Finding the Third Proportional to 4,356.91 and 6,330.34

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Solution

The third proportional to 4,356.91 and 6,330.34 is: 9,197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,356.91 : 6,330.34 = 6,330.34 : x
  2. Step 2: Convert to fraction form
    4,356.91/6,330.34 = 6,330.34/x
  3. Step 3: Cross multiply
    4,356.91x = 6,330.34 × 6,330.34
  4. Step 4: Simplify right side
    4,356.91x = 40,073,202.54
  5. Step 5: Solve for x
    x = 40,073,202.54/4,356.91
  6. Step 6: Final answer
    x = 9,197.61

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.