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Finding the Third Proportional to 16,970 and 38,110

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Solution

The third proportional to 16,970 and 38,110 is: 85,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,970 : 38,110 = 38,110 : x
  2. Step 2: Convert to fraction form
    16,970/38,110 = 38,110/x
  3. Step 3: Cross multiply
    16,970x = 38,110 × 38,110
  4. Step 4: Simplify right side
    16,970x = 1,452,372,100
  5. Step 5: Solve for x
    x = 1,452,372,100/16,970
  6. Step 6: Final answer
    x = 85,584.68

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.