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Finding the Third Proportional to 43,344 and 64,832

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Solution

The third proportional to 43,344 and 64,832 is: 96,972.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,344 : 64,832 = 64,832 : x
  2. Step 2: Convert to fraction form
    43,344/64,832 = 64,832/x
  3. Step 3: Cross multiply
    43,344x = 64,832 × 64,832
  4. Step 4: Simplify right side
    43,344x = 4,203,188,224
  5. Step 5: Solve for x
    x = 4,203,188,224/43,344
  6. Step 6: Final answer
    x = 96,972.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.