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Finding the Third Proportional to 22,077 and 47,311

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Solution

The third proportional to 22,077 and 47,311 is: 101,387.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,077 : 47,311 = 47,311 : x
  2. Step 2: Convert to fraction form
    22,077/47,311 = 47,311/x
  3. Step 3: Cross multiply
    22,077x = 47,311 × 47,311
  4. Step 4: Simplify right side
    22,077x = 2,238,330,721
  5. Step 5: Solve for x
    x = 2,238,330,721/22,077
  6. Step 6: Final answer
    x = 101,387.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.