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Finding the Third Proportional to 5,638.36 and 7,944.96

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Solution

The third proportional to 5,638.36 and 7,944.96 is: 11,195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.36 : 7,944.96 = 7,944.96 : x
  2. Step 2: Convert to fraction form
    5,638.36/7,944.96 = 7,944.96/x
  3. Step 3: Cross multiply
    5,638.36x = 7,944.96 × 7,944.96
  4. Step 4: Simplify right side
    5,638.36x = 63,122,404.30
  5. Step 5: Solve for x
    x = 63,122,404.30/5,638.36
  6. Step 6: Final answer
    x = 11,195.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.