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Finding the Third Proportional to 4,189.22 and 4,546.13

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Solution

The third proportional to 4,189.22 and 4,546.13 is: 4,933.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.22 : 4,546.13 = 4,546.13 : x
  2. Step 2: Convert to fraction form
    4,189.22/4,546.13 = 4,546.13/x
  3. Step 3: Cross multiply
    4,189.22x = 4,546.13 × 4,546.13
  4. Step 4: Simplify right side
    4,189.22x = 20,667,252.52
  5. Step 5: Solve for x
    x = 20,667,252.52/4,189.22
  6. Step 6: Final answer
    x = 4,933.44

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.