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Finding the Third Proportional to 23,131 and 45,110

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Solution

The third proportional to 23,131 and 45,110 is: 87,973.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,131 : 45,110 = 45,110 : x
  2. Step 2: Convert to fraction form
    23,131/45,110 = 45,110/x
  3. Step 3: Cross multiply
    23,131x = 45,110 × 45,110
  4. Step 4: Simplify right side
    23,131x = 2,034,912,100
  5. Step 5: Solve for x
    x = 2,034,912,100/23,131
  6. Step 6: Final answer
    x = 87,973.37

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.