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Finding the Third Proportional to 22,200 and 47,559

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Solution

The third proportional to 22,200 and 47,559 is: 101,885.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,200 : 47,559 = 47,559 : x
  2. Step 2: Convert to fraction form
    22,200/47,559 = 47,559/x
  3. Step 3: Cross multiply
    22,200x = 47,559 × 47,559
  4. Step 4: Simplify right side
    22,200x = 2,261,858,481
  5. Step 5: Solve for x
    x = 2,261,858,481/22,200
  6. Step 6: Final answer
    x = 101,885.52

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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.