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Finding the Third Proportional to 30,096 and 65,744

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Solution

The third proportional to 30,096 and 65,744 is: 143,616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,096 : 65,744 = 65,744 : x
  2. Step 2: Convert to fraction form
    30,096/65,744 = 65,744/x
  3. Step 3: Cross multiply
    30,096x = 65,744 × 65,744
  4. Step 4: Simplify right side
    30,096x = 4,322,273,536
  5. Step 5: Solve for x
    x = 4,322,273,536/30,096
  6. Step 6: Final answer
    x = 143,616.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.