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Finding the Third Proportional to 16,372 and 36,371

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Solution

The third proportional to 16,372 and 36,371 is: 80,799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,372 : 36,371 = 36,371 : x
  2. Step 2: Convert to fraction form
    16,372/36,371 = 36,371/x
  3. Step 3: Cross multiply
    16,372x = 36,371 × 36,371
  4. Step 4: Simplify right side
    16,372x = 1,322,849,641
  5. Step 5: Solve for x
    x = 1,322,849,641/16,372
  6. Step 6: Final answer
    x = 80,799.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.