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Finding the Third Proportional to 22,611 and 47,287

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Solution

The third proportional to 22,611 and 47,287 is: 98,892.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,611 : 47,287 = 47,287 : x
  2. Step 2: Convert to fraction form
    22,611/47,287 = 47,287/x
  3. Step 3: Cross multiply
    22,611x = 47,287 × 47,287
  4. Step 4: Simplify right side
    22,611x = 2,236,060,369
  5. Step 5: Solve for x
    x = 2,236,060,369/22,611
  6. Step 6: Final answer
    x = 98,892.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.