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Finding the Third Proportional to 2,028.38 and 4,211.16

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Solution

The third proportional to 2,028.38 and 4,211.16 is: 8,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.38 : 4,211.16 = 4,211.16 : x
  2. Step 2: Convert to fraction form
    2,028.38/4,211.16 = 4,211.16/x
  3. Step 3: Cross multiply
    2,028.38x = 4,211.16 × 4,211.16
  4. Step 4: Simplify right side
    2,028.38x = 17,733,836.96
  5. Step 5: Solve for x
    x = 17,733,836.96/2,028.38
  6. Step 6: Final answer
    x = 8,742.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.