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Finding the Third Proportional to 16,706 and 38,845

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Solution

The third proportional to 16,706 and 38,845 is: 90,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706 : 38,845 = 38,845 : x
  2. Step 2: Convert to fraction form
    16,706/38,845 = 38,845/x
  3. Step 3: Cross multiply
    16,706x = 38,845 × 38,845
  4. Step 4: Simplify right side
    16,706x = 1,508,934,025
  5. Step 5: Solve for x
    x = 1,508,934,025/16,706
  6. Step 6: Final answer
    x = 90,322.88

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.