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Finding the Third Proportional to 30,300 and 61,836

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Solution

The third proportional to 30,300 and 61,836 is: 126,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,300 : 61,836 = 61,836 : x
  2. Step 2: Convert to fraction form
    30,300/61,836 = 61,836/x
  3. Step 3: Cross multiply
    30,300x = 61,836 × 61,836
  4. Step 4: Simplify right side
    30,300x = 3,823,690,896
  5. Step 5: Solve for x
    x = 3,823,690,896/30,300
  6. Step 6: Final answer
    x = 126,194.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.