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Finding the Third Proportional to 834.38 and 1,933.88

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Solution

The third proportional to 834.38 and 1,933.88 is: 4,482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.38 : 1,933.88 = 1,933.88 : x
  2. Step 2: Convert to fraction form
    834.38/1,933.88 = 1,933.88/x
  3. Step 3: Cross multiply
    834.38x = 1,933.88 × 1,933.88
  4. Step 4: Simplify right side
    834.38x = 3,739,872.52
  5. Step 5: Solve for x
    x = 3,739,872.52/834.38
  6. Step 6: Final answer
    x = 4,482.24

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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.