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Finding the Third Proportional to 16,732 and 37,154

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Solution

The third proportional to 16,732 and 37,154 is: 82,501.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,732 : 37,154 = 37,154 : x
  2. Step 2: Convert to fraction form
    16,732/37,154 = 37,154/x
  3. Step 3: Cross multiply
    16,732x = 37,154 × 37,154
  4. Step 4: Simplify right side
    16,732x = 1,380,419,716
  5. Step 5: Solve for x
    x = 1,380,419,716/16,732
  6. Step 6: Final answer
    x = 82,501.78

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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.