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Finding the Third Proportional to 8,235.42 and 17,906.06

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Solution

The third proportional to 8,235.42 and 17,906.06 is: 38,932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.42 : 17,906.06 = 17,906.06 : x
  2. Step 2: Convert to fraction form
    8,235.42/17,906.06 = 17,906.06/x
  3. Step 3: Cross multiply
    8,235.42x = 17,906.06 × 17,906.06
  4. Step 4: Simplify right side
    8,235.42x = 320,627,074.25
  5. Step 5: Solve for x
    x = 320,627,074.25/8,235.42
  6. Step 6: Final answer
    x = 38,932.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.