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Finding the Third Proportional to 12,808.13 and 19,249.31

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Solution

The third proportional to 12,808.13 and 19,249.31 is: 28,929.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.13 : 19,249.31 = 19,249.31 : x
  2. Step 2: Convert to fraction form
    12,808.13/19,249.31 = 19,249.31/x
  3. Step 3: Cross multiply
    12,808.13x = 19,249.31 × 19,249.31
  4. Step 4: Simplify right side
    12,808.13x = 370,536,031.72
  5. Step 5: Solve for x
    x = 370,536,031.72/12,808.13
  6. Step 6: Final answer
    x = 28,929.76

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