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Finding the Third Proportional to 2,063.25 and 4,023.14

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Solution

The third proportional to 2,063.25 and 4,023.14 is: 7,844.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.25 : 4,023.14 = 4,023.14 : x
  2. Step 2: Convert to fraction form
    2,063.25/4,023.14 = 4,023.14/x
  3. Step 3: Cross multiply
    2,063.25x = 4,023.14 × 4,023.14
  4. Step 4: Simplify right side
    2,063.25x = 16,185,660.49
  5. Step 5: Solve for x
    x = 16,185,660.49/2,063.25
  6. Step 6: Final answer
    x = 7,844.74

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.