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Finding the Third Proportional to 12,272.63 and 18,891.38

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Solution

The third proportional to 12,272.63 and 18,891.38 is: 29,079.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272.63 : 18,891.38 = 18,891.38 : x
  2. Step 2: Convert to fraction form
    12,272.63/18,891.38 = 18,891.38/x
  3. Step 3: Cross multiply
    12,272.63x = 18,891.38 × 18,891.38
  4. Step 4: Simplify right side
    12,272.63x = 356,884,049.39
  5. Step 5: Solve for x
    x = 356,884,049.39/12,272.63
  6. Step 6: Final answer
    x = 29,079.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.