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Finding the Third Proportional to 805.78 and 1,668.52

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Solution

The third proportional to 805.78 and 1,668.52 is: 3,454.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.78 : 1,668.52 = 1,668.52 : x
  2. Step 2: Convert to fraction form
    805.78/1,668.52 = 1,668.52/x
  3. Step 3: Cross multiply
    805.78x = 1,668.52 × 1,668.52
  4. Step 4: Simplify right side
    805.78x = 2,783,944.39
  5. Step 5: Solve for x
    x = 2,783,944.39/805.78
  6. Step 6: Final answer
    x = 3,454.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.