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Finding the Third Proportional to 12,838.88 and 19,171.88

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Solution

The third proportional to 12,838.88 and 19,171.88 is: 28,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.88 : 19,171.88 = 19,171.88 : x
  2. Step 2: Convert to fraction form
    12,838.88/19,171.88 = 19,171.88/x
  3. Step 3: Cross multiply
    12,838.88x = 19,171.88 × 19,171.88
  4. Step 4: Simplify right side
    12,838.88x = 367,560,791.02
  5. Step 5: Solve for x
    x = 367,560,791.02/12,838.88
  6. Step 6: Final answer
    x = 28,628.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.