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Finding the Third Proportional to 22,199 and 47,677

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Solution

The third proportional to 22,199 and 47,677 is: 102,396.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,199 : 47,677 = 47,677 : x
  2. Step 2: Convert to fraction form
    22,199/47,677 = 47,677/x
  3. Step 3: Cross multiply
    22,199x = 47,677 × 47,677
  4. Step 4: Simplify right side
    22,199x = 2,273,096,329
  5. Step 5: Solve for x
    x = 2,273,096,329/22,199
  6. Step 6: Final answer
    x = 102,396.34

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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.