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Finding the Third Proportional to 9,170 and 18,824

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Solution

The third proportional to 9,170 and 18,824 is: 38,641.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170 : 18,824 = 18,824 : x
  2. Step 2: Convert to fraction form
    9,170/18,824 = 18,824/x
  3. Step 3: Cross multiply
    9,170x = 18,824 × 18,824
  4. Step 4: Simplify right side
    9,170x = 354,342,976
  5. Step 5: Solve for x
    x = 354,342,976/9,170
  6. Step 6: Final answer
    x = 38,641.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.