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Finding the Third Proportional to 1,906.66 and 4,100.63

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Solution

The third proportional to 1,906.66 and 4,100.63 is: 8,819.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.66 : 4,100.63 = 4,100.63 : x
  2. Step 2: Convert to fraction form
    1,906.66/4,100.63 = 4,100.63/x
  3. Step 3: Cross multiply
    1,906.66x = 4,100.63 × 4,100.63
  4. Step 4: Simplify right side
    1,906.66x = 16,815,125.39
  5. Step 5: Solve for x
    x = 16,815,125.39/1,906.66
  6. Step 6: Final answer
    x = 8,819.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.