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Finding the Third Proportional to 1,908.91 and 2,795.13

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Solution

The third proportional to 1,908.91 and 2,795.13 is: 4,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.91 : 2,795.13 = 2,795.13 : x
  2. Step 2: Convert to fraction form
    1,908.91/2,795.13 = 2,795.13/x
  3. Step 3: Cross multiply
    1,908.91x = 2,795.13 × 2,795.13
  4. Step 4: Simplify right side
    1,908.91x = 7,812,767.44
  5. Step 5: Solve for x
    x = 7,812,767.44/1,908.91
  6. Step 6: Final answer
    x = 4,092.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.