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Finding the Third Proportional to 2,195.02 and 3,902.77

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Solution

The third proportional to 2,195.02 and 3,902.77 is: 6,939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.02 : 3,902.77 = 3,902.77 : x
  2. Step 2: Convert to fraction form
    2,195.02/3,902.77 = 3,902.77/x
  3. Step 3: Cross multiply
    2,195.02x = 3,902.77 × 3,902.77
  4. Step 4: Simplify right side
    2,195.02x = 15,231,579.52
  5. Step 5: Solve for x
    x = 15,231,579.52/2,195.02
  6. Step 6: Final answer
    x = 6,939.17

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.