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Finding the Third Proportional to 3,259.41 and 6,633.84

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Solution

The third proportional to 3,259.41 and 6,633.84 is: 13,501.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.41 : 6,633.84 = 6,633.84 : x
  2. Step 2: Convert to fraction form
    3,259.41/6,633.84 = 6,633.84/x
  3. Step 3: Cross multiply
    3,259.41x = 6,633.84 × 6,633.84
  4. Step 4: Simplify right side
    3,259.41x = 44,007,882.90
  5. Step 5: Solve for x
    x = 44,007,882.90/3,259.41
  6. Step 6: Final answer
    x = 13,501.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.