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Finding the Third Proportional to 865.69 and 1,782.42

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Solution

The third proportional to 865.69 and 1,782.42 is: 3,669.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.69 : 1,782.42 = 1,782.42 : x
  2. Step 2: Convert to fraction form
    865.69/1,782.42 = 1,782.42/x
  3. Step 3: Cross multiply
    865.69x = 1,782.42 × 1,782.42
  4. Step 4: Simplify right side
    865.69x = 3,177,027.74
  5. Step 5: Solve for x
    x = 3,177,027.74/865.69
  6. Step 6: Final answer
    x = 3,669.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.