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Finding the Third Proportional to 18,296 and 37,972

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Solution

The third proportional to 18,296 and 37,972 is: 78,808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,296 : 37,972 = 37,972 : x
  2. Step 2: Convert to fraction form
    18,296/37,972 = 37,972/x
  3. Step 3: Cross multiply
    18,296x = 37,972 × 37,972
  4. Step 4: Simplify right side
    18,296x = 1,441,872,784
  5. Step 5: Solve for x
    x = 1,441,872,784/18,296
  6. Step 6: Final answer
    x = 78,808.09

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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.