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Finding the Third Proportional to 14,704.03 and 17,227.69

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Solution

The third proportional to 14,704.03 and 17,227.69 is: 20,184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704.03 : 17,227.69 = 17,227.69 : x
  2. Step 2: Convert to fraction form
    14,704.03/17,227.69 = 17,227.69/x
  3. Step 3: Cross multiply
    14,704.03x = 17,227.69 × 17,227.69
  4. Step 4: Simplify right side
    14,704.03x = 296,793,216.60
  5. Step 5: Solve for x
    x = 296,793,216.60/14,704.03
  6. Step 6: Final answer
    x = 20,184.48

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.