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Finding the Third Proportional to 18,096 and 26,138

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Solution

The third proportional to 18,096 and 26,138 is: 37,753.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,096 : 26,138 = 26,138 : x
  2. Step 2: Convert to fraction form
    18,096/26,138 = 26,138/x
  3. Step 3: Cross multiply
    18,096x = 26,138 × 26,138
  4. Step 4: Simplify right side
    18,096x = 683,195,044
  5. Step 5: Solve for x
    x = 683,195,044/18,096
  6. Step 6: Final answer
    x = 37,753.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.