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Finding the Third Proportional to 5,941.13 and 8,305.88

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Solution

The third proportional to 5,941.13 and 8,305.88 is: 11,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.13 : 8,305.88 = 8,305.88 : x
  2. Step 2: Convert to fraction form
    5,941.13/8,305.88 = 8,305.88/x
  3. Step 3: Cross multiply
    5,941.13x = 8,305.88 × 8,305.88
  4. Step 4: Simplify right side
    5,941.13x = 68,987,559.52
  5. Step 5: Solve for x
    x = 68,987,559.52/5,941.13
  6. Step 6: Final answer
    x = 11,611.87

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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.