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Finding the Third Proportional to 30,211 and 64,793

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Solution

The third proportional to 30,211 and 64,793 is: 138,960.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,211 : 64,793 = 64,793 : x
  2. Step 2: Convert to fraction form
    30,211/64,793 = 64,793/x
  3. Step 3: Cross multiply
    30,211x = 64,793 × 64,793
  4. Step 4: Simplify right side
    30,211x = 4,198,132,849
  5. Step 5: Solve for x
    x = 4,198,132,849/30,211
  6. Step 6: Final answer
    x = 138,960.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.