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Finding the Third Proportional to 18,524 and 37,736

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Solution

The third proportional to 18,524 and 37,736 is: 76,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,524 : 37,736 = 37,736 : x
  2. Step 2: Convert to fraction form
    18,524/37,736 = 37,736/x
  3. Step 3: Cross multiply
    18,524x = 37,736 × 37,736
  4. Step 4: Simplify right side
    18,524x = 1,424,005,696
  5. Step 5: Solve for x
    x = 1,424,005,696/18,524
  6. Step 6: Final answer
    x = 76,873.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.