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Finding the Third Proportional to 21,962 and 47,380

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Solution

The third proportional to 21,962 and 47,380 is: 102,215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,962 : 47,380 = 47,380 : x
  2. Step 2: Convert to fraction form
    21,962/47,380 = 47,380/x
  3. Step 3: Cross multiply
    21,962x = 47,380 × 47,380
  4. Step 4: Simplify right side
    21,962x = 2,244,864,400
  5. Step 5: Solve for x
    x = 2,244,864,400/21,962
  6. Step 6: Final answer
    x = 102,215.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.