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Finding the Third Proportional to 3,196.13 and 6,855.05

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Solution

The third proportional to 3,196.13 and 6,855.05 is: 14,702.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.13 : 6,855.05 = 6,855.05 : x
  2. Step 2: Convert to fraction form
    3,196.13/6,855.05 = 6,855.05/x
  3. Step 3: Cross multiply
    3,196.13x = 6,855.05 × 6,855.05
  4. Step 4: Simplify right side
    3,196.13x = 46,991,667.66
  5. Step 5: Solve for x
    x = 46,991,667.66/3,196.13
  6. Step 6: Final answer
    x = 14,702.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.