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Finding the Third Proportional to 2,226.19 and 4,750.31

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Solution

The third proportional to 2,226.19 and 4,750.31 is: 10,136.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.19 : 4,750.31 = 4,750.31 : x
  2. Step 2: Convert to fraction form
    2,226.19/4,750.31 = 4,750.31/x
  3. Step 3: Cross multiply
    2,226.19x = 4,750.31 × 4,750.31
  4. Step 4: Simplify right side
    2,226.19x = 22,565,468.85
  5. Step 5: Solve for x
    x = 22,565,468.85/2,226.19
  6. Step 6: Final answer
    x = 10,136.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.