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Finding the Third Proportional to 14,797.69 and 16,984.69

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Solution

The third proportional to 14,797.69 and 16,984.69 is: 19,494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797.69 : 16,984.69 = 16,984.69 : x
  2. Step 2: Convert to fraction form
    14,797.69/16,984.69 = 16,984.69/x
  3. Step 3: Cross multiply
    14,797.69x = 16,984.69 × 16,984.69
  4. Step 4: Simplify right side
    14,797.69x = 288,479,609.47
  5. Step 5: Solve for x
    x = 288,479,609.47/14,797.69
  6. Step 6: Final answer
    x = 19,494.91

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.