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Finding the Third Proportional to 2,222.44 and 4,718.25

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Solution

The third proportional to 2,222.44 and 4,718.25 is: 10,016.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.44 : 4,718.25 = 4,718.25 : x
  2. Step 2: Convert to fraction form
    2,222.44/4,718.25 = 4,718.25/x
  3. Step 3: Cross multiply
    2,222.44x = 4,718.25 × 4,718.25
  4. Step 4: Simplify right side
    2,222.44x = 22,261,883.06
  5. Step 5: Solve for x
    x = 22,261,883.06/2,222.44
  6. Step 6: Final answer
    x = 10,016.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.