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Finding the Third Proportional to 20,094 and 26,103

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Solution

The third proportional to 20,094 and 26,103 is: 33,908.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,094 : 26,103 = 26,103 : x
  2. Step 2: Convert to fraction form
    20,094/26,103 = 26,103/x
  3. Step 3: Cross multiply
    20,094x = 26,103 × 26,103
  4. Step 4: Simplify right side
    20,094x = 681,366,609
  5. Step 5: Solve for x
    x = 681,366,609/20,094
  6. Step 6: Final answer
    x = 33,908.96

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.