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Finding the Third Proportional to 16,093.69 and 22,272.47

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Solution

The third proportional to 16,093.69 and 22,272.47 is: 30,823.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,093.69 : 22,272.47 = 22,272.47 : x
  2. Step 2: Convert to fraction form
    16,093.69/22,272.47 = 22,272.47/x
  3. Step 3: Cross multiply
    16,093.69x = 22,272.47 × 22,272.47
  4. Step 4: Simplify right side
    16,093.69x = 496,062,864.22
  5. Step 5: Solve for x
    x = 496,062,864.22/16,093.69
  6. Step 6: Final answer
    x = 30,823.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.