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Finding the Third Proportional to 2,213.16 and 4,767.19

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Solution

The third proportional to 2,213.16 and 4,767.19 is: 10,268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.16 : 4,767.19 = 4,767.19 : x
  2. Step 2: Convert to fraction form
    2,213.16/4,767.19 = 4,767.19/x
  3. Step 3: Cross multiply
    2,213.16x = 4,767.19 × 4,767.19
  4. Step 4: Simplify right side
    2,213.16x = 22,726,076.66
  5. Step 5: Solve for x
    x = 22,726,076.66/2,213.16
  6. Step 6: Final answer
    x = 10,268.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.