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Finding the Third Proportional to 30,881 and 60,226

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Solution

The third proportional to 30,881 and 60,226 is: 117,456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,881 : 60,226 = 60,226 : x
  2. Step 2: Convert to fraction form
    30,881/60,226 = 60,226/x
  3. Step 3: Cross multiply
    30,881x = 60,226 × 60,226
  4. Step 4: Simplify right side
    30,881x = 3,627,171,076
  5. Step 5: Solve for x
    x = 3,627,171,076/30,881
  6. Step 6: Final answer
    x = 117,456.40

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.