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Finding the Third Proportional to 1,906.95 and 4,018.92

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Solution

The third proportional to 1,906.95 and 4,018.92 is: 8,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.95 : 4,018.92 = 4,018.92 : x
  2. Step 2: Convert to fraction form
    1,906.95/4,018.92 = 4,018.92/x
  3. Step 3: Cross multiply
    1,906.95x = 4,018.92 × 4,018.92
  4. Step 4: Simplify right side
    1,906.95x = 16,151,733.04
  5. Step 5: Solve for x
    x = 16,151,733.04/1,906.95
  6. Step 6: Final answer
    x = 8,469.95

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.