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Finding the Third Proportional to 14,711.81 and 30,198.84

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Solution

The third proportional to 14,711.81 and 30,198.84 is: 61,988.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.81 : 30,198.84 = 30,198.84 : x
  2. Step 2: Convert to fraction form
    14,711.81/30,198.84 = 30,198.84/x
  3. Step 3: Cross multiply
    14,711.81x = 30,198.84 × 30,198.84
  4. Step 4: Simplify right side
    14,711.81x = 911,970,163.84
  5. Step 5: Solve for x
    x = 911,970,163.84/14,711.81
  6. Step 6: Final answer
    x = 61,988.97

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.