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Finding the Third Proportional to 9,250.88 and 17,894.25

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Solution

The third proportional to 9,250.88 and 17,894.25 is: 34,613.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.88 : 17,894.25 = 17,894.25 : x
  2. Step 2: Convert to fraction form
    9,250.88/17,894.25 = 17,894.25/x
  3. Step 3: Cross multiply
    9,250.88x = 17,894.25 × 17,894.25
  4. Step 4: Simplify right side
    9,250.88x = 320,204,183.06
  5. Step 5: Solve for x
    x = 320,204,183.06/9,250.88
  6. Step 6: Final answer
    x = 34,613.39

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.