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Finding the Third Proportional to 834 and 1,832

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Solution

The third proportional to 834 and 1,832 is: 4,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    834 : 1,832 = 1,832 : x
  2. Step 2: Convert to fraction form
    834/1,832 = 1,832/x
  3. Step 3: Cross multiply
    834x = 1,832 × 1,832
  4. Step 4: Simplify right side
    834x = 3,356,224
  5. Step 5: Solve for x
    x = 3,356,224/834
  6. Step 6: Final answer
    x = 4,024.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.