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Finding the Third Proportional to 32,388 and 43,761

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Solution

The third proportional to 32,388 and 43,761 is: 59,127.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,388 : 43,761 = 43,761 : x
  2. Step 2: Convert to fraction form
    32,388/43,761 = 43,761/x
  3. Step 3: Cross multiply
    32,388x = 43,761 × 43,761
  4. Step 4: Simplify right side
    32,388x = 1,915,025,121
  5. Step 5: Solve for x
    x = 1,915,025,121/32,388
  6. Step 6: Final answer
    x = 59,127.61

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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.