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Finding the Third Proportional to 16,412 and 34,873

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Solution

The third proportional to 16,412 and 34,873 is: 74,099.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412 : 34,873 = 34,873 : x
  2. Step 2: Convert to fraction form
    16,412/34,873 = 34,873/x
  3. Step 3: Cross multiply
    16,412x = 34,873 × 34,873
  4. Step 4: Simplify right side
    16,412x = 1,216,126,129
  5. Step 5: Solve for x
    x = 1,216,126,129/16,412
  6. Step 6: Final answer
    x = 74,099.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.