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Finding the Third Proportional to 22,211 and 47,715

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Solution

The third proportional to 22,211 and 47,715 is: 102,504.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,211 : 47,715 = 47,715 : x
  2. Step 2: Convert to fraction form
    22,211/47,715 = 47,715/x
  3. Step 3: Cross multiply
    22,211x = 47,715 × 47,715
  4. Step 4: Simplify right side
    22,211x = 2,276,721,225
  5. Step 5: Solve for x
    x = 2,276,721,225/22,211
  6. Step 6: Final answer
    x = 102,504.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.