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Finding the Third Proportional to 18,934 and 41,140

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Solution

The third proportional to 18,934 and 41,140 is: 89,389.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,934 : 41,140 = 41,140 : x
  2. Step 2: Convert to fraction form
    18,934/41,140 = 41,140/x
  3. Step 3: Cross multiply
    18,934x = 41,140 × 41,140
  4. Step 4: Simplify right side
    18,934x = 1,692,499,600
  5. Step 5: Solve for x
    x = 1,692,499,600/18,934
  6. Step 6: Final answer
    x = 89,389.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.