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Finding the Third Proportional to 21,961 and 47,468

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Solution

The third proportional to 21,961 and 47,468 is: 102,600.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,961 : 47,468 = 47,468 : x
  2. Step 2: Convert to fraction form
    21,961/47,468 = 47,468/x
  3. Step 3: Cross multiply
    21,961x = 47,468 × 47,468
  4. Step 4: Simplify right side
    21,961x = 2,253,211,024
  5. Step 5: Solve for x
    x = 2,253,211,024/21,961
  6. Step 6: Final answer
    x = 102,600.57

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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.