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Finding the Third Proportional to 32,334 and 43,662

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Solution

The third proportional to 32,334 and 43,662 is: 58,958.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,334 : 43,662 = 43,662 : x
  2. Step 2: Convert to fraction form
    32,334/43,662 = 43,662/x
  3. Step 3: Cross multiply
    32,334x = 43,662 × 43,662
  4. Step 4: Simplify right side
    32,334x = 1,906,370,244
  5. Step 5: Solve for x
    x = 1,906,370,244/32,334
  6. Step 6: Final answer
    x = 58,958.69

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.