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Finding the Third Proportional to 4,620.80 and 10,164.23

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Solution

The third proportional to 4,620.80 and 10,164.23 is: 22,357.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.80 : 10,164.23 = 10,164.23 : x
  2. Step 2: Convert to fraction form
    4,620.80/10,164.23 = 10,164.23/x
  3. Step 3: Cross multiply
    4,620.80x = 10,164.23 × 10,164.23
  4. Step 4: Simplify right side
    4,620.80x = 103,311,660.43
  5. Step 5: Solve for x
    x = 103,311,660.43/4,620.80
  6. Step 6: Final answer
    x = 22,357.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.