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Finding the Third Proportional to 1,900.97 and 4,046.20

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Solution

The third proportional to 1,900.97 and 4,046.20 is: 8,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.97 : 4,046.20 = 4,046.20 : x
  2. Step 2: Convert to fraction form
    1,900.97/4,046.20 = 4,046.20/x
  3. Step 3: Cross multiply
    1,900.97x = 4,046.20 × 4,046.20
  4. Step 4: Simplify right side
    1,900.97x = 16,371,759.73
  5. Step 5: Solve for x
    x = 16,371,759.73/1,900.97
  6. Step 6: Final answer
    x = 8,612.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.