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Finding the Third Proportional to 16,351 and 35,671

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Solution

The third proportional to 16,351 and 35,671 is: 77,819.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,351 : 35,671 = 35,671 : x
  2. Step 2: Convert to fraction form
    16,351/35,671 = 35,671/x
  3. Step 3: Cross multiply
    16,351x = 35,671 × 35,671
  4. Step 4: Simplify right side
    16,351x = 1,272,420,241
  5. Step 5: Solve for x
    x = 1,272,420,241/16,351
  6. Step 6: Final answer
    x = 77,819.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.