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Finding the Third Proportional to 6,083.25 and 9,238.88

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Solution

The third proportional to 6,083.25 and 9,238.88 is: 14,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.25 : 9,238.88 = 9,238.88 : x
  2. Step 2: Convert to fraction form
    6,083.25/9,238.88 = 9,238.88/x
  3. Step 3: Cross multiply
    6,083.25x = 9,238.88 × 9,238.88
  4. Step 4: Simplify right side
    6,083.25x = 85,356,811.27
  5. Step 5: Solve for x
    x = 85,356,811.27/6,083.25
  6. Step 6: Final answer
    x = 14,031.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.