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Finding the Third Proportional to 22,201 and 47,560.75

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Solution

The third proportional to 22,201 and 47,560.75 is: 101,888.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,201 : 47,560.75 = 47,560.75 : x
  2. Step 2: Convert to fraction form
    22,201/47,560.75 = 47,560.75/x
  3. Step 3: Cross multiply
    22,201x = 47,560.75 × 47,560.75
  4. Step 4: Simplify right side
    22,201x = 2,262,024,940.56
  5. Step 5: Solve for x
    x = 2,262,024,940.56/22,201
  6. Step 6: Final answer
    x = 101,888.43

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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.