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Finding the Third Proportional to 30,338 and 61,912

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Solution

The third proportional to 30,338 and 61,912 is: 126,346.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,338 : 61,912 = 61,912 : x
  2. Step 2: Convert to fraction form
    30,338/61,912 = 61,912/x
  3. Step 3: Cross multiply
    30,338x = 61,912 × 61,912
  4. Step 4: Simplify right side
    30,338x = 3,833,095,744
  5. Step 5: Solve for x
    x = 3,833,095,744/30,338
  6. Step 6: Final answer
    x = 126,346.36

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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.