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Finding the Third Proportional to 4,227.19 and 6,453.84

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Solution

The third proportional to 4,227.19 and 6,453.84 is: 9,853.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.19 : 6,453.84 = 6,453.84 : x
  2. Step 2: Convert to fraction form
    4,227.19/6,453.84 = 6,453.84/x
  3. Step 3: Cross multiply
    4,227.19x = 6,453.84 × 6,453.84
  4. Step 4: Simplify right side
    4,227.19x = 41,652,099.15
  5. Step 5: Solve for x
    x = 41,652,099.15/4,227.19
  6. Step 6: Final answer
    x = 9,853.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.