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Finding the Third Proportional to 16,234 and 33,716

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Solution

The third proportional to 16,234 and 33,716 is: 70,023.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234 : 33,716 = 33,716 : x
  2. Step 2: Convert to fraction form
    16,234/33,716 = 33,716/x
  3. Step 3: Cross multiply
    16,234x = 33,716 × 33,716
  4. Step 4: Simplify right side
    16,234x = 1,136,768,656
  5. Step 5: Solve for x
    x = 1,136,768,656/16,234
  6. Step 6: Final answer
    x = 70,023.94

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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.