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Finding the Third Proportional to 22,201 and 47,561

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Solution

The third proportional to 22,201 and 47,561 is: 101,889.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,201 : 47,561 = 47,561 : x
  2. Step 2: Convert to fraction form
    22,201/47,561 = 47,561/x
  3. Step 3: Cross multiply
    22,201x = 47,561 × 47,561
  4. Step 4: Simplify right side
    22,201x = 2,262,048,721
  5. Step 5: Solve for x
    x = 2,262,048,721/22,201
  6. Step 6: Final answer
    x = 101,889.50

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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.