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Finding the Third Proportional to 6,086.81 and 14,919.19

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Solution

The third proportional to 6,086.81 and 14,919.19 is: 36,567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.81 : 14,919.19 = 14,919.19 : x
  2. Step 2: Convert to fraction form
    6,086.81/14,919.19 = 14,919.19/x
  3. Step 3: Cross multiply
    6,086.81x = 14,919.19 × 14,919.19
  4. Step 4: Simplify right side
    6,086.81x = 222,582,155.66
  5. Step 5: Solve for x
    x = 222,582,155.66/6,086.81
  6. Step 6: Final answer
    x = 36,567.93

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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.