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Finding the Third Proportional to 3,402 and 5,832

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Solution

The third proportional to 3,402 and 5,832 is: 9,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402 : 5,832 = 5,832 : x
  2. Step 2: Convert to fraction form
    3,402/5,832 = 5,832/x
  3. Step 3: Cross multiply
    3,402x = 5,832 × 5,832
  4. Step 4: Simplify right side
    3,402x = 34,012,224
  5. Step 5: Solve for x
    x = 34,012,224/3,402
  6. Step 6: Final answer
    x = 9,997.71

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.