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Finding the Third Proportional to 12,750.25 and 19,490.75

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Solution

The third proportional to 12,750.25 and 19,490.75 is: 29,794.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,750.25 : 19,490.75 = 19,490.75 : x
  2. Step 2: Convert to fraction form
    12,750.25/19,490.75 = 19,490.75/x
  3. Step 3: Cross multiply
    12,750.25x = 19,490.75 × 19,490.75
  4. Step 4: Simplify right side
    12,750.25x = 379,889,335.56
  5. Step 5: Solve for x
    x = 379,889,335.56/12,750.25
  6. Step 6: Final answer
    x = 29,794.66

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.