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Finding the Third Proportional to 8,161.38 and 17,256.80

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Solution

The third proportional to 8,161.38 and 17,256.80 is: 36,488.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.38 : 17,256.80 = 17,256.80 : x
  2. Step 2: Convert to fraction form
    8,161.38/17,256.80 = 17,256.80/x
  3. Step 3: Cross multiply
    8,161.38x = 17,256.80 × 17,256.80
  4. Step 4: Simplify right side
    8,161.38x = 297,797,038.39
  5. Step 5: Solve for x
    x = 297,797,038.39/8,161.38
  6. Step 6: Final answer
    x = 36,488.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.