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Finding the Third Proportional to 23,096 and 36,751

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Solution

The third proportional to 23,096 and 36,751 is: 58,479.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,096 : 36,751 = 36,751 : x
  2. Step 2: Convert to fraction form
    23,096/36,751 = 36,751/x
  3. Step 3: Cross multiply
    23,096x = 36,751 × 36,751
  4. Step 4: Simplify right side
    23,096x = 1,350,636,001
  5. Step 5: Solve for x
    x = 1,350,636,001/23,096
  6. Step 6: Final answer
    x = 58,479.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.