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Finding the Third Proportional to 10,212 and 18,736

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Solution

The third proportional to 10,212 and 18,736 is: 34,375.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212 : 18,736 = 18,736 : x
  2. Step 2: Convert to fraction form
    10,212/18,736 = 18,736/x
  3. Step 3: Cross multiply
    10,212x = 18,736 × 18,736
  4. Step 4: Simplify right side
    10,212x = 351,037,696
  5. Step 5: Solve for x
    x = 351,037,696/10,212
  6. Step 6: Final answer
    x = 34,375.02

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.