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Finding the Third Proportional to 834.75 and 1,772.06

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Solution

The third proportional to 834.75 and 1,772.06 is: 3,761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.75 : 1,772.06 = 1,772.06 : x
  2. Step 2: Convert to fraction form
    834.75/1,772.06 = 1,772.06/x
  3. Step 3: Cross multiply
    834.75x = 1,772.06 × 1,772.06
  4. Step 4: Simplify right side
    834.75x = 3,140,205.50
  5. Step 5: Solve for x
    x = 3,140,205.50/834.75
  6. Step 6: Final answer
    x = 3,761.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.