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Finding the Third Proportional to 20,817 and 30,491.44

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Solution

The third proportional to 20,817 and 30,491.44 is: 44,661.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,817 : 30,491.44 = 30,491.44 : x
  2. Step 2: Convert to fraction form
    20,817/30,491.44 = 30,491.44/x
  3. Step 3: Cross multiply
    20,817x = 30,491.44 × 30,491.44
  4. Step 4: Simplify right side
    20,817x = 929,727,760.82
  5. Step 5: Solve for x
    x = 929,727,760.82/20,817
  6. Step 6: Final answer
    x = 44,661.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.