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Finding the Third Proportional to 1,768.39 and 2,680.36

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Solution

The third proportional to 1,768.39 and 2,680.36 is: 4,062.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.39 : 2,680.36 = 2,680.36 : x
  2. Step 2: Convert to fraction form
    1,768.39/2,680.36 = 2,680.36/x
  3. Step 3: Cross multiply
    1,768.39x = 2,680.36 × 2,680.36
  4. Step 4: Simplify right side
    1,768.39x = 7,184,310.67
  5. Step 5: Solve for x
    x = 7,184,310.67/1,768.39
  6. Step 6: Final answer
    x = 4,062.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.