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Finding the Third Proportional to 30,800 and 66,976

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Solution

The third proportional to 30,800 and 66,976 is: 145,642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,800 : 66,976 = 66,976 : x
  2. Step 2: Convert to fraction form
    30,800/66,976 = 66,976/x
  3. Step 3: Cross multiply
    30,800x = 66,976 × 66,976
  4. Step 4: Simplify right side
    30,800x = 4,485,784,576
  5. Step 5: Solve for x
    x = 4,485,784,576/30,800
  6. Step 6: Final answer
    x = 145,642.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.