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Finding the Third Proportional to 834.68 and 1,814.27

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Solution

The third proportional to 834.68 and 1,814.27 is: 3,943.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.68 : 1,814.27 = 1,814.27 : x
  2. Step 2: Convert to fraction form
    834.68/1,814.27 = 1,814.27/x
  3. Step 3: Cross multiply
    834.68x = 1,814.27 × 1,814.27
  4. Step 4: Simplify right side
    834.68x = 3,291,588.11
  5. Step 5: Solve for x
    x = 3,291,588.11/834.68
  6. Step 6: Final answer
    x = 3,943.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.