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Finding the Third Proportional to 12,919.50 and 19,487.25

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Solution

The third proportional to 12,919.50 and 19,487.25 is: 29,393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,919.50 : 19,487.25 = 19,487.25 : x
  2. Step 2: Convert to fraction form
    12,919.50/19,487.25 = 19,487.25/x
  3. Step 3: Cross multiply
    12,919.50x = 19,487.25 × 19,487.25
  4. Step 4: Simplify right side
    12,919.50x = 379,752,912.56
  5. Step 5: Solve for x
    x = 379,752,912.56/12,919.50
  6. Step 6: Final answer
    x = 29,393.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.