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Finding the Third Proportional to 16,662 and 23,217

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Solution

The third proportional to 16,662 and 23,217 is: 32,350.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,662 : 23,217 = 23,217 : x
  2. Step 2: Convert to fraction form
    16,662/23,217 = 23,217/x
  3. Step 3: Cross multiply
    16,662x = 23,217 × 23,217
  4. Step 4: Simplify right side
    16,662x = 539,029,089
  5. Step 5: Solve for x
    x = 539,029,089/16,662
  6. Step 6: Final answer
    x = 32,350.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.