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Finding the Third Proportional to 3,836.33 and 6,009.18

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Solution

The third proportional to 3,836.33 and 6,009.18 is: 9,412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.33 : 6,009.18 = 6,009.18 : x
  2. Step 2: Convert to fraction form
    3,836.33/6,009.18 = 6,009.18/x
  3. Step 3: Cross multiply
    3,836.33x = 6,009.18 × 6,009.18
  4. Step 4: Simplify right side
    3,836.33x = 36,110,215.58
  5. Step 5: Solve for x
    x = 36,110,215.58/3,836.33
  6. Step 6: Final answer
    x = 9,412.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.