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Finding the Third Proportional to 5,621.91 and 11,395.69

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Solution

The third proportional to 5,621.91 and 11,395.69 is: 23,099.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,621.91 : 11,395.69 = 11,395.69 : x
  2. Step 2: Convert to fraction form
    5,621.91/11,395.69 = 11,395.69/x
  3. Step 3: Cross multiply
    5,621.91x = 11,395.69 × 11,395.69
  4. Step 4: Simplify right side
    5,621.91x = 129,861,693.60
  5. Step 5: Solve for x
    x = 129,861,693.60/5,621.91
  6. Step 6: Final answer
    x = 23,099.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.