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Finding the Third Proportional to 18,946 and 39,849

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Solution

The third proportional to 18,946 and 39,849 is: 83,814.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,946 : 39,849 = 39,849 : x
  2. Step 2: Convert to fraction form
    18,946/39,849 = 39,849/x
  3. Step 3: Cross multiply
    18,946x = 39,849 × 39,849
  4. Step 4: Simplify right side
    18,946x = 1,587,942,801
  5. Step 5: Solve for x
    x = 1,587,942,801/18,946
  6. Step 6: Final answer
    x = 83,814.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.