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Finding the Third Proportional to 2,226.38 and 3,164.63

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Solution

The third proportional to 2,226.38 and 3,164.63 is: 4,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.38 : 3,164.63 = 3,164.63 : x
  2. Step 2: Convert to fraction form
    2,226.38/3,164.63 = 3,164.63/x
  3. Step 3: Cross multiply
    2,226.38x = 3,164.63 × 3,164.63
  4. Step 4: Simplify right side
    2,226.38x = 10,014,851.39
  5. Step 5: Solve for x
    x = 10,014,851.39/2,226.38
  6. Step 6: Final answer
    x = 4,498.28

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.