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Finding the Third Proportional to 4,227.70 and 6,571.68

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Solution

The third proportional to 4,227.70 and 6,571.68 is: 10,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.70 : 6,571.68 = 6,571.68 : x
  2. Step 2: Convert to fraction form
    4,227.70/6,571.68 = 6,571.68/x
  3. Step 3: Cross multiply
    4,227.70x = 6,571.68 × 6,571.68
  4. Step 4: Simplify right side
    4,227.70x = 43,186,961.08
  5. Step 5: Solve for x
    x = 43,186,961.08/4,227.70
  6. Step 6: Final answer
    x = 10,215.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.