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Finding the Third Proportional to 12,449.25 and 19,429.88

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Solution

The third proportional to 12,449.25 and 19,429.88 is: 30,324.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,449.25 : 19,429.88 = 19,429.88 : x
  2. Step 2: Convert to fraction form
    12,449.25/19,429.88 = 19,429.88/x
  3. Step 3: Cross multiply
    12,449.25x = 19,429.88 × 19,429.88
  4. Step 4: Simplify right side
    12,449.25x = 377,520,042.52
  5. Step 5: Solve for x
    x = 377,520,042.52/12,449.25
  6. Step 6: Final answer
    x = 30,324.72

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.