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Finding the Third Proportional to 4,619.11 and 10,471.36

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Solution

The third proportional to 4,619.11 and 10,471.36 is: 23,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,619.11 : 10,471.36 = 10,471.36 : x
  2. Step 2: Convert to fraction form
    4,619.11/10,471.36 = 10,471.36/x
  3. Step 3: Cross multiply
    4,619.11x = 10,471.36 × 10,471.36
  4. Step 4: Simplify right side
    4,619.11x = 109,649,367.16
  5. Step 5: Solve for x
    x = 109,649,367.16/4,619.11
  6. Step 6: Final answer
    x = 23,738.21

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.