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Finding the Third Proportional to 12,815.25 and 19,889.25

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Solution

The third proportional to 12,815.25 and 19,889.25 is: 30,868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.25 : 19,889.25 = 19,889.25 : x
  2. Step 2: Convert to fraction form
    12,815.25/19,889.25 = 19,889.25/x
  3. Step 3: Cross multiply
    12,815.25x = 19,889.25 × 19,889.25
  4. Step 4: Simplify right side
    12,815.25x = 395,582,265.56
  5. Step 5: Solve for x
    x = 395,582,265.56/12,815.25
  6. Step 6: Final answer
    x = 30,868.09

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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.