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Finding the Third Proportional to 1,696.78 and 3,153.09

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Solution

The third proportional to 1,696.78 and 3,153.09 is: 5,859.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.78 : 3,153.09 = 3,153.09 : x
  2. Step 2: Convert to fraction form
    1,696.78/3,153.09 = 3,153.09/x
  3. Step 3: Cross multiply
    1,696.78x = 3,153.09 × 3,153.09
  4. Step 4: Simplify right side
    1,696.78x = 9,942,000.20
  5. Step 5: Solve for x
    x = 9,942,000.20/1,696.78
  6. Step 6: Final answer
    x = 5,859.33

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.