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Finding the Third Proportional to 16,032 and 24,268

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Solution

The third proportional to 16,032 and 24,268 is: 36,735.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032 : 24,268 = 24,268 : x
  2. Step 2: Convert to fraction form
    16,032/24,268 = 24,268/x
  3. Step 3: Cross multiply
    16,032x = 24,268 × 24,268
  4. Step 4: Simplify right side
    16,032x = 588,935,824
  5. Step 5: Solve for x
    x = 588,935,824/16,032
  6. Step 6: Final answer
    x = 36,735.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.