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Finding the Third Proportional to 3,110.91 and 4,816.97

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Solution

The third proportional to 3,110.91 and 4,816.97 is: 7,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.91 : 4,816.97 = 4,816.97 : x
  2. Step 2: Convert to fraction form
    3,110.91/4,816.97 = 4,816.97/x
  3. Step 3: Cross multiply
    3,110.91x = 4,816.97 × 4,816.97
  4. Step 4: Simplify right side
    3,110.91x = 23,203,187.94
  5. Step 5: Solve for x
    x = 23,203,187.94/3,110.91
  6. Step 6: Final answer
    x = 7,458.66

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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.