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Finding the Third Proportional to 4,169.81 and 6,339.09

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Solution

The third proportional to 4,169.81 and 6,339.09 is: 9,636.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.81 : 6,339.09 = 6,339.09 : x
  2. Step 2: Convert to fraction form
    4,169.81/6,339.09 = 6,339.09/x
  3. Step 3: Cross multiply
    4,169.81x = 6,339.09 × 6,339.09
  4. Step 4: Simplify right side
    4,169.81x = 40,184,109.57
  5. Step 5: Solve for x
    x = 40,184,109.57/4,169.81
  6. Step 6: Final answer
    x = 9,636.91

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.