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Finding the Third Proportional to 30,820 and 63,096

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Solution

The third proportional to 30,820 and 63,096 is: 129,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,820 : 63,096 = 63,096 : x
  2. Step 2: Convert to fraction form
    30,820/63,096 = 63,096/x
  3. Step 3: Cross multiply
    30,820x = 63,096 × 63,096
  4. Step 4: Simplify right side
    30,820x = 3,981,105,216
  5. Step 5: Solve for x
    x = 3,981,105,216/30,820
  6. Step 6: Final answer
    x = 129,172.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.