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Finding the Third Proportional to 7,694.37 and 16,618.92

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Solution

The third proportional to 7,694.37 and 16,618.92 is: 35,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.37 : 16,618.92 = 16,618.92 : x
  2. Step 2: Convert to fraction form
    7,694.37/16,618.92 = 16,618.92/x
  3. Step 3: Cross multiply
    7,694.37x = 16,618.92 × 16,618.92
  4. Step 4: Simplify right side
    7,694.37x = 276,188,564.29
  5. Step 5: Solve for x
    x = 276,188,564.29/7,694.37
  6. Step 6: Final answer
    x = 35,894.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.