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Finding the Third Proportional to 18,147 and 39,213

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Solution

The third proportional to 18,147 and 39,213 is: 84,733.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,147 : 39,213 = 39,213 : x
  2. Step 2: Convert to fraction form
    18,147/39,213 = 39,213/x
  3. Step 3: Cross multiply
    18,147x = 39,213 × 39,213
  4. Step 4: Simplify right side
    18,147x = 1,537,659,369
  5. Step 5: Solve for x
    x = 1,537,659,369/18,147
  6. Step 6: Final answer
    x = 84,733.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.