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Finding the Third Proportional to 30,336 and 61,908

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Solution

The third proportional to 30,336 and 61,908 is: 126,338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,336 : 61,908 = 61,908 : x
  2. Step 2: Convert to fraction form
    30,336/61,908 = 61,908/x
  3. Step 3: Cross multiply
    30,336x = 61,908 × 61,908
  4. Step 4: Simplify right side
    30,336x = 3,832,600,464
  5. Step 5: Solve for x
    x = 3,832,600,464/30,336
  6. Step 6: Final answer
    x = 126,338.36

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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.