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Finding the Third Proportional to 5,939.68 and 8,304.04

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Solution

The third proportional to 5,939.68 and 8,304.04 is: 11,609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,939.68 : 8,304.04 = 8,304.04 : x
  2. Step 2: Convert to fraction form
    5,939.68/8,304.04 = 8,304.04/x
  3. Step 3: Cross multiply
    5,939.68x = 8,304.04 × 8,304.04
  4. Step 4: Simplify right side
    5,939.68x = 68,956,999.88
  5. Step 5: Solve for x
    x = 68,956,999.88/5,939.68
  6. Step 6: Final answer
    x = 11,609.54

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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.