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Finding the Third Proportional to 3,349.69 and 6,853.78

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Solution

The third proportional to 3,349.69 and 6,853.78 is: 14,023.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.69 : 6,853.78 = 6,853.78 : x
  2. Step 2: Convert to fraction form
    3,349.69/6,853.78 = 6,853.78/x
  3. Step 3: Cross multiply
    3,349.69x = 6,853.78 × 6,853.78
  4. Step 4: Simplify right side
    3,349.69x = 46,974,317.42
  5. Step 5: Solve for x
    x = 46,974,317.42/3,349.69
  6. Step 6: Final answer
    x = 14,023.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.