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Finding the Third Proportional to 861.05 and 1,796.92

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Solution

The third proportional to 861.05 and 1,796.92 is: 3,750.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.05 : 1,796.92 = 1,796.92 : x
  2. Step 2: Convert to fraction form
    861.05/1,796.92 = 1,796.92/x
  3. Step 3: Cross multiply
    861.05x = 1,796.92 × 1,796.92
  4. Step 4: Simplify right side
    861.05x = 3,228,935.24
  5. Step 5: Solve for x
    x = 3,228,935.24/861.05
  6. Step 6: Final answer
    x = 3,750.01

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.