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Finding the Third Proportional to 6,109.88 and 8,250.75

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Solution

The third proportional to 6,109.88 and 8,250.75 is: 11,141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.88 : 8,250.75 = 8,250.75 : x
  2. Step 2: Convert to fraction form
    6,109.88/8,250.75 = 8,250.75/x
  3. Step 3: Cross multiply
    6,109.88x = 8,250.75 × 8,250.75
  4. Step 4: Simplify right side
    6,109.88x = 68,074,875.56
  5. Step 5: Solve for x
    x = 68,074,875.56/6,109.88
  6. Step 6: Final answer
    x = 11,141.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.