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Finding the Third Proportional to 18,813 and 40,217

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Solution

The third proportional to 18,813 and 40,217 is: 85,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,813 : 40,217 = 40,217 : x
  2. Step 2: Convert to fraction form
    18,813/40,217 = 40,217/x
  3. Step 3: Cross multiply
    18,813x = 40,217 × 40,217
  4. Step 4: Simplify right side
    18,813x = 1,617,407,089
  5. Step 5: Solve for x
    x = 1,617,407,089/18,813
  6. Step 6: Final answer
    x = 85,972.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.