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Finding the Third Proportional to 834.75 and 1,816.31

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Solution

The third proportional to 834.75 and 1,816.31 is: 3,952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.75 : 1,816.31 = 1,816.31 : x
  2. Step 2: Convert to fraction form
    834.75/1,816.31 = 1,816.31/x
  3. Step 3: Cross multiply
    834.75x = 1,816.31 × 1,816.31
  4. Step 4: Simplify right side
    834.75x = 3,298,991.10
  5. Step 5: Solve for x
    x = 3,298,991.10/834.75
  6. Step 6: Final answer
    x = 3,952.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.