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Finding the Third Proportional to 834.89 and 1,933.03

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Solution

The third proportional to 834.89 and 1,933.03 is: 4,475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.89 : 1,933.03 = 1,933.03 : x
  2. Step 2: Convert to fraction form
    834.89/1,933.03 = 1,933.03/x
  3. Step 3: Cross multiply
    834.89x = 1,933.03 × 1,933.03
  4. Step 4: Simplify right side
    834.89x = 3,736,609.81
  5. Step 5: Solve for x
    x = 3,736,609.81/834.89
  6. Step 6: Final answer
    x = 4,475.57

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.