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Finding the Third Proportional to 18,736 and 29,224

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Solution

The third proportional to 18,736 and 29,224 is: 45,582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,736 : 29,224 = 29,224 : x
  2. Step 2: Convert to fraction form
    18,736/29,224 = 29,224/x
  3. Step 3: Cross multiply
    18,736x = 29,224 × 29,224
  4. Step 4: Simplify right side
    18,736x = 854,042,176
  5. Step 5: Solve for x
    x = 854,042,176/18,736
  6. Step 6: Final answer
    x = 45,582.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.