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Finding the Third Proportional to 3,296.25 and 5,861.81

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Solution

The third proportional to 3,296.25 and 5,861.81 is: 10,424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.25 : 5,861.81 = 5,861.81 : x
  2. Step 2: Convert to fraction form
    3,296.25/5,861.81 = 5,861.81/x
  3. Step 3: Cross multiply
    3,296.25x = 5,861.81 × 5,861.81
  4. Step 4: Simplify right side
    3,296.25x = 34,360,845.79
  5. Step 5: Solve for x
    x = 34,360,845.79/3,296.25
  6. Step 6: Final answer
    x = 10,424.22

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.