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Finding the Third Proportional to 16,239 and 33,711

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Solution

The third proportional to 16,239 and 33,711 is: 69,981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,239 : 33,711 = 33,711 : x
  2. Step 2: Convert to fraction form
    16,239/33,711 = 33,711/x
  3. Step 3: Cross multiply
    16,239x = 33,711 × 33,711
  4. Step 4: Simplify right side
    16,239x = 1,136,431,521
  5. Step 5: Solve for x
    x = 1,136,431,521/16,239
  6. Step 6: Final answer
    x = 69,981.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.