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Finding the Third Proportional to 832.70 and 1,793.55

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Solution

The third proportional to 832.70 and 1,793.55 is: 3,863.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.70 : 1,793.55 = 1,793.55 : x
  2. Step 2: Convert to fraction form
    832.70/1,793.55 = 1,793.55/x
  3. Step 3: Cross multiply
    832.70x = 1,793.55 × 1,793.55
  4. Step 4: Simplify right side
    832.70x = 3,216,817.40
  5. Step 5: Solve for x
    x = 3,216,817.40/832.70
  6. Step 6: Final answer
    x = 3,863.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.