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Finding the Third Proportional to 16,252 and 23,800

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Solution

The third proportional to 16,252 and 23,800 is: 34,853.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,252 : 23,800 = 23,800 : x
  2. Step 2: Convert to fraction form
    16,252/23,800 = 23,800/x
  3. Step 3: Cross multiply
    16,252x = 23,800 × 23,800
  4. Step 4: Simplify right side
    16,252x = 566,440,000
  5. Step 5: Solve for x
    x = 566,440,000/16,252
  6. Step 6: Final answer
    x = 34,853.56

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.