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Finding the Third Proportional to 1,717.38 and 3,297.94

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Solution

The third proportional to 1,717.38 and 3,297.94 is: 6,333.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.38 : 3,297.94 = 3,297.94 : x
  2. Step 2: Convert to fraction form
    1,717.38/3,297.94 = 3,297.94/x
  3. Step 3: Cross multiply
    1,717.38x = 3,297.94 × 3,297.94
  4. Step 4: Simplify right side
    1,717.38x = 10,876,391.75
  5. Step 5: Solve for x
    x = 10,876,391.75/1,717.38
  6. Step 6: Final answer
    x = 6,333.15

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.