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Finding the Third Proportional to 17,497.69 and 20,049.19

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Solution

The third proportional to 17,497.69 and 20,049.19 is: 22,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,497.69 : 20,049.19 = 20,049.19 : x
  2. Step 2: Convert to fraction form
    17,497.69/20,049.19 = 20,049.19/x
  3. Step 3: Cross multiply
    17,497.69x = 20,049.19 × 20,049.19
  4. Step 4: Simplify right side
    17,497.69x = 401,969,919.41
  5. Step 5: Solve for x
    x = 401,969,919.41/17,497.69
  6. Step 6: Final answer
    x = 22,972.75

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Why These Related Problems?

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