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Finding the Third Proportional to 6,947.96 and 15,279.73

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Solution

The third proportional to 6,947.96 and 15,279.73 is: 33,602.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.96 : 15,279.73 = 15,279.73 : x
  2. Step 2: Convert to fraction form
    6,947.96/15,279.73 = 15,279.73/x
  3. Step 3: Cross multiply
    6,947.96x = 15,279.73 × 15,279.73
  4. Step 4: Simplify right side
    6,947.96x = 233,470,222.88
  5. Step 5: Solve for x
    x = 233,470,222.88/6,947.96
  6. Step 6: Final answer
    x = 33,602.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.