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Finding the Third Proportional to 4,187.81 and 6,324.19

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Solution

The third proportional to 4,187.81 and 6,324.19 is: 9,550.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.81 : 6,324.19 = 6,324.19 : x
  2. Step 2: Convert to fraction form
    4,187.81/6,324.19 = 6,324.19/x
  3. Step 3: Cross multiply
    4,187.81x = 6,324.19 × 6,324.19
  4. Step 4: Simplify right side
    4,187.81x = 39,995,347.54
  5. Step 5: Solve for x
    x = 39,995,347.54/4,187.81
  6. Step 6: Final answer
    x = 9,550.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.