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Finding the Third Proportional to 1,696.78 and 3,323.53

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Solution

The third proportional to 1,696.78 and 3,323.53 is: 6,509.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.78 : 3,323.53 = 3,323.53 : x
  2. Step 2: Convert to fraction form
    1,696.78/3,323.53 = 3,323.53/x
  3. Step 3: Cross multiply
    1,696.78x = 3,323.53 × 3,323.53
  4. Step 4: Simplify right side
    1,696.78x = 11,045,859.97
  5. Step 5: Solve for x
    x = 11,045,859.97/1,696.78
  6. Step 6: Final answer
    x = 6,509.89

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.