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Finding the Third Proportional to 3,285.72 and 7,091.14

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Solution

The third proportional to 3,285.72 and 7,091.14 is: 15,303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.72 : 7,091.14 = 7,091.14 : x
  2. Step 2: Convert to fraction form
    3,285.72/7,091.14 = 7,091.14/x
  3. Step 3: Cross multiply
    3,285.72x = 7,091.14 × 7,091.14
  4. Step 4: Simplify right side
    3,285.72x = 50,284,247.66
  5. Step 5: Solve for x
    x = 50,284,247.66/3,285.72
  6. Step 6: Final answer
    x = 15,303.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.