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Finding the Third Proportional to 4,286.81 and 6,004.97

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Solution

The third proportional to 4,286.81 and 6,004.97 is: 8,411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.81 : 6,004.97 = 6,004.97 : x
  2. Step 2: Convert to fraction form
    4,286.81/6,004.97 = 6,004.97/x
  3. Step 3: Cross multiply
    4,286.81x = 6,004.97 × 6,004.97
  4. Step 4: Simplify right side
    4,286.81x = 36,059,649.69
  5. Step 5: Solve for x
    x = 36,059,649.69/4,286.81
  6. Step 6: Final answer
    x = 8,411.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.