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Finding the Third Proportional to 766.55 and 1,711.55

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Solution

The third proportional to 766.55 and 1,711.55 is: 3,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.55 : 1,711.55 = 1,711.55 : x
  2. Step 2: Convert to fraction form
    766.55/1,711.55 = 1,711.55/x
  3. Step 3: Cross multiply
    766.55x = 1,711.55 × 1,711.55
  4. Step 4: Simplify right side
    766.55x = 2,929,392.71
  5. Step 5: Solve for x
    x = 2,929,392.71/766.55
  6. Step 6: Final answer
    x = 3,821.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.