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Finding the Third Proportional to 7,894.97 and 16,951.78

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Solution

The third proportional to 7,894.97 and 16,951.78 is: 36,398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.97 : 16,951.78 = 16,951.78 : x
  2. Step 2: Convert to fraction form
    7,894.97/16,951.78 = 16,951.78/x
  3. Step 3: Cross multiply
    7,894.97x = 16,951.78 × 16,951.78
  4. Step 4: Simplify right side
    7,894.97x = 287,362,887.55
  5. Step 5: Solve for x
    x = 287,362,887.55/7,894.97
  6. Step 6: Final answer
    x = 36,398.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.