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Finding the Third Proportional to 3,200.06 and 4,944.09

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Solution

The third proportional to 3,200.06 and 4,944.09 is: 7,638.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.06 : 4,944.09 = 4,944.09 : x
  2. Step 2: Convert to fraction form
    3,200.06/4,944.09 = 4,944.09/x
  3. Step 3: Cross multiply
    3,200.06x = 4,944.09 × 4,944.09
  4. Step 4: Simplify right side
    3,200.06x = 24,444,063.01
  5. Step 5: Solve for x
    x = 24,444,063.01/3,200.06
  6. Step 6: Final answer
    x = 7,638.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.