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Finding the Third Proportional to 6,171.19 and 8,965.69

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Solution

The third proportional to 6,171.19 and 8,965.69 is: 13,025.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.19 : 8,965.69 = 8,965.69 : x
  2. Step 2: Convert to fraction form
    6,171.19/8,965.69 = 8,965.69/x
  3. Step 3: Cross multiply
    6,171.19x = 8,965.69 × 8,965.69
  4. Step 4: Simplify right side
    6,171.19x = 80,383,552.35
  5. Step 5: Solve for x
    x = 80,383,552.35/6,171.19
  6. Step 6: Final answer
    x = 13,025.62

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.