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Finding the Third Proportional to 4,006.13 and 6,633.56

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Solution

The third proportional to 4,006.13 and 6,633.56 is: 10,984.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.13 : 6,633.56 = 6,633.56 : x
  2. Step 2: Convert to fraction form
    4,006.13/6,633.56 = 6,633.56/x
  3. Step 3: Cross multiply
    4,006.13x = 6,633.56 × 6,633.56
  4. Step 4: Simplify right side
    4,006.13x = 44,004,151.44
  5. Step 5: Solve for x
    x = 44,004,151.44/4,006.13
  6. Step 6: Final answer
    x = 10,984.22

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.