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Finding the Third Proportional to 12,763.20 and 19,067.91

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Solution

The third proportional to 12,763.20 and 19,067.91 is: 28,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.20 : 19,067.91 = 19,067.91 : x
  2. Step 2: Convert to fraction form
    12,763.20/19,067.91 = 19,067.91/x
  3. Step 3: Cross multiply
    12,763.20x = 19,067.91 × 19,067.91
  4. Step 4: Simplify right side
    12,763.20x = 363,585,048.76
  5. Step 5: Solve for x
    x = 363,585,048.76/12,763.20
  6. Step 6: Final answer
    x = 28,486.99

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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.