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Finding the Third Proportional to 766.73 and 1,642.39

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Solution

The third proportional to 766.73 and 1,642.39 is: 3,518.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.73 : 1,642.39 = 1,642.39 : x
  2. Step 2: Convert to fraction form
    766.73/1,642.39 = 1,642.39/x
  3. Step 3: Cross multiply
    766.73x = 1,642.39 × 1,642.39
  4. Step 4: Simplify right side
    766.73x = 2,697,430.93
  5. Step 5: Solve for x
    x = 2,697,430.93/766.73
  6. Step 6: Final answer
    x = 3,518.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.