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Finding the Third Proportional to 766.13 and 2,052.84

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Solution

The third proportional to 766.13 and 2,052.84 is: 5,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.13 : 2,052.84 = 2,052.84 : x
  2. Step 2: Convert to fraction form
    766.13/2,052.84 = 2,052.84/x
  3. Step 3: Cross multiply
    766.13x = 2,052.84 × 2,052.84
  4. Step 4: Simplify right side
    766.13x = 4,214,167.46
  5. Step 5: Solve for x
    x = 4,214,167.46/766.13
  6. Step 6: Final answer
    x = 5,500.63

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Why These Related Problems?

These problems maintain the same ratio (2.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.