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Finding the Third Proportional to 835.17 and 1,773.14

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Solution

The third proportional to 835.17 and 1,773.14 is: 3,764.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.17 : 1,773.14 = 1,773.14 : x
  2. Step 2: Convert to fraction form
    835.17/1,773.14 = 1,773.14/x
  3. Step 3: Cross multiply
    835.17x = 1,773.14 × 1,773.14
  4. Step 4: Simplify right side
    835.17x = 3,144,027.68
  5. Step 5: Solve for x
    x = 3,144,027.68/835.17
  6. Step 6: Final answer
    x = 3,764.53

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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.