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Finding the Third Proportional to 23,272 and 34,832

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Solution

The third proportional to 23,272 and 34,832 is: 52,134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,272 : 34,832 = 34,832 : x
  2. Step 2: Convert to fraction form
    23,272/34,832 = 34,832/x
  3. Step 3: Cross multiply
    23,272x = 34,832 × 34,832
  4. Step 4: Simplify right side
    23,272x = 1,213,268,224
  5. Step 5: Solve for x
    x = 1,213,268,224/23,272
  6. Step 6: Final answer
    x = 52,134.25

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