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Finding the Third Proportional to 20,340 and 43,960

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Solution

The third proportional to 20,340 and 43,960 is: 95,008.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,340 : 43,960 = 43,960 : x
  2. Step 2: Convert to fraction form
    20,340/43,960 = 43,960/x
  3. Step 3: Cross multiply
    20,340x = 43,960 × 43,960
  4. Step 4: Simplify right side
    20,340x = 1,932,481,600
  5. Step 5: Solve for x
    x = 1,932,481,600/20,340
  6. Step 6: Final answer
    x = 95,008.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.