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Finding the Third Proportional to 3,284.77 and 6,928.35

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Solution

The third proportional to 3,284.77 and 6,928.35 is: 14,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.77 : 6,928.35 = 6,928.35 : x
  2. Step 2: Convert to fraction form
    3,284.77/6,928.35 = 6,928.35/x
  3. Step 3: Cross multiply
    3,284.77x = 6,928.35 × 6,928.35
  4. Step 4: Simplify right side
    3,284.77x = 48,002,001.25
  5. Step 5: Solve for x
    x = 48,002,001.25/3,284.77
  6. Step 6: Final answer
    x = 14,613.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.