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Finding the Third Proportional to 1,906.98 and 4,054.11

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Solution

The third proportional to 1,906.98 and 4,054.11 is: 8,618.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.98 : 4,054.11 = 4,054.11 : x
  2. Step 2: Convert to fraction form
    1,906.98/4,054.11 = 4,054.11/x
  3. Step 3: Cross multiply
    1,906.98x = 4,054.11 × 4,054.11
  4. Step 4: Simplify right side
    1,906.98x = 16,435,834.50
  5. Step 5: Solve for x
    x = 16,435,834.50/1,906.98
  6. Step 6: Final answer
    x = 8,618.77

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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.