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Finding the Third Proportional to 766.02 and 1,634.55

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Solution

The third proportional to 766.02 and 1,634.55 is: 3,487.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.02 : 1,634.55 = 1,634.55 : x
  2. Step 2: Convert to fraction form
    766.02/1,634.55 = 1,634.55/x
  3. Step 3: Cross multiply
    766.02x = 1,634.55 × 1,634.55
  4. Step 4: Simplify right side
    766.02x = 2,671,769.03
  5. Step 5: Solve for x
    x = 2,671,769.03/766.02
  6. Step 6: Final answer
    x = 3,487.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.