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Finding the Third Proportional to 7,183.13 and 11,113.88

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Solution

The third proportional to 7,183.13 and 11,113.88 is: 17,195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.13 : 11,113.88 = 11,113.88 : x
  2. Step 2: Convert to fraction form
    7,183.13/11,113.88 = 11,113.88/x
  3. Step 3: Cross multiply
    7,183.13x = 11,113.88 × 11,113.88
  4. Step 4: Simplify right side
    7,183.13x = 123,518,217.52
  5. Step 5: Solve for x
    x = 123,518,217.52/7,183.13
  6. Step 6: Final answer
    x = 17,195.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.