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Finding the Third Proportional to 3,890.81 and 5,593.22

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Solution

The third proportional to 3,890.81 and 5,593.22 is: 8,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.81 : 5,593.22 = 5,593.22 : x
  2. Step 2: Convert to fraction form
    3,890.81/5,593.22 = 5,593.22/x
  3. Step 3: Cross multiply
    3,890.81x = 5,593.22 × 5,593.22
  4. Step 4: Simplify right side
    3,890.81x = 31,284,095.99
  5. Step 5: Solve for x
    x = 31,284,095.99/3,890.81
  6. Step 6: Final answer
    x = 8,040.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.