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Finding the Third Proportional to 12,536.81 and 19,474.69

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Solution

The third proportional to 12,536.81 and 19,474.69 is: 30,251.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.81 : 19,474.69 = 19,474.69 : x
  2. Step 2: Convert to fraction form
    12,536.81/19,474.69 = 19,474.69/x
  3. Step 3: Cross multiply
    12,536.81x = 19,474.69 × 19,474.69
  4. Step 4: Simplify right side
    12,536.81x = 379,263,453.22
  5. Step 5: Solve for x
    x = 379,263,453.22/12,536.81
  6. Step 6: Final answer
    x = 30,251.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.