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Finding the Third Proportional to 5,486.06 and 9,786.66

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Solution

The third proportional to 5,486.06 and 9,786.66 is: 17,458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.06 : 9,786.66 = 9,786.66 : x
  2. Step 2: Convert to fraction form
    5,486.06/9,786.66 = 9,786.66/x
  3. Step 3: Cross multiply
    5,486.06x = 9,786.66 × 9,786.66
  4. Step 4: Simplify right side
    5,486.06x = 95,778,640.56
  5. Step 5: Solve for x
    x = 95,778,640.56/5,486.06
  6. Step 6: Final answer
    x = 17,458.54

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.