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Finding the Third Proportional to 4,629.66 and 6,180.05

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Solution

The third proportional to 4,629.66 and 6,180.05 is: 8,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,629.66 : 6,180.05 = 6,180.05 : x
  2. Step 2: Convert to fraction form
    4,629.66/6,180.05 = 6,180.05/x
  3. Step 3: Cross multiply
    4,629.66x = 6,180.05 × 6,180.05
  4. Step 4: Simplify right side
    4,629.66x = 38,192,979.38
  5. Step 5: Solve for x
    x = 38,192,979.38/4,629.66
  6. Step 6: Final answer
    x = 8,249.64

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.