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Finding the Third Proportional to 8,496.14 and 18,222.47

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Solution

The third proportional to 8,496.14 and 18,222.47 is: 39,083.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.14 : 18,222.47 = 18,222.47 : x
  2. Step 2: Convert to fraction form
    8,496.14/18,222.47 = 18,222.47/x
  3. Step 3: Cross multiply
    8,496.14x = 18,222.47 × 18,222.47
  4. Step 4: Simplify right side
    8,496.14x = 332,058,367.34
  5. Step 5: Solve for x
    x = 332,058,367.34/8,496.14
  6. Step 6: Final answer
    x = 39,083.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.