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Finding the Third Proportional to 1,704.38 and 3,369.94

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Solution

The third proportional to 1,704.38 and 3,369.94 is: 6,663.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.38 : 3,369.94 = 3,369.94 : x
  2. Step 2: Convert to fraction form
    1,704.38/3,369.94 = 3,369.94/x
  3. Step 3: Cross multiply
    1,704.38x = 3,369.94 × 3,369.94
  4. Step 4: Simplify right side
    1,704.38x = 11,356,478.75
  5. Step 5: Solve for x
    x = 11,356,478.75/1,704.38
  6. Step 6: Final answer
    x = 6,663.13

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.