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Finding the Third Proportional to 16,012.69 and 18,928.69

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Solution

The third proportional to 16,012.69 and 18,928.69 is: 22,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012.69 : 18,928.69 = 18,928.69 : x
  2. Step 2: Convert to fraction form
    16,012.69/18,928.69 = 18,928.69/x
  3. Step 3: Cross multiply
    16,012.69x = 18,928.69 × 18,928.69
  4. Step 4: Simplify right side
    16,012.69x = 358,295,210.47
  5. Step 5: Solve for x
    x = 358,295,210.47/16,012.69
  6. Step 6: Final answer
    x = 22,375.71

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.