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Finding the Third Proportional to 12,837.38 and 19,205.44

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Solution

The third proportional to 12,837.38 and 19,205.44 is: 28,732.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837.38 : 19,205.44 = 19,205.44 : x
  2. Step 2: Convert to fraction form
    12,837.38/19,205.44 = 19,205.44/x
  3. Step 3: Cross multiply
    12,837.38x = 19,205.44 × 19,205.44
  4. Step 4: Simplify right side
    12,837.38x = 368,848,829.57
  5. Step 5: Solve for x
    x = 368,848,829.57/12,837.38
  6. Step 6: Final answer
    x = 28,732.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.