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Finding the Third Proportional to 23,976 and 32,049

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Solution

The third proportional to 23,976 and 32,049 is: 42,840.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,976 : 32,049 = 32,049 : x
  2. Step 2: Convert to fraction form
    23,976/32,049 = 32,049/x
  3. Step 3: Cross multiply
    23,976x = 32,049 × 32,049
  4. Step 4: Simplify right side
    23,976x = 1,027,138,401
  5. Step 5: Solve for x
    x = 1,027,138,401/23,976
  6. Step 6: Final answer
    x = 42,840.27

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.