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Finding the Third Proportional to 6,166.13 and 13,318.17

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Solution

The third proportional to 6,166.13 and 13,318.17 is: 28,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.13 : 13,318.17 = 13,318.17 : x
  2. Step 2: Convert to fraction form
    6,166.13/13,318.17 = 13,318.17/x
  3. Step 3: Cross multiply
    6,166.13x = 13,318.17 × 13,318.17
  4. Step 4: Simplify right side
    6,166.13x = 177,373,702.09
  5. Step 5: Solve for x
    x = 177,373,702.09/6,166.13
  6. Step 6: Final answer
    x = 28,765.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.