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Finding the Third Proportional to 3,299.02 and 6,871.06

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Solution

The third proportional to 3,299.02 and 6,871.06 is: 14,310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.02 : 6,871.06 = 6,871.06 : x
  2. Step 2: Convert to fraction form
    3,299.02/6,871.06 = 6,871.06/x
  3. Step 3: Cross multiply
    3,299.02x = 6,871.06 × 6,871.06
  4. Step 4: Simplify right side
    3,299.02x = 47,211,473.04
  5. Step 5: Solve for x
    x = 47,211,473.04/3,299.02
  6. Step 6: Final answer
    x = 14,310.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.