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Finding the Third Proportional to 11,132 and 22,571

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Solution

The third proportional to 11,132 and 22,571 is: 45,764.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132 : 22,571 = 22,571 : x
  2. Step 2: Convert to fraction form
    11,132/22,571 = 22,571/x
  3. Step 3: Cross multiply
    11,132x = 22,571 × 22,571
  4. Step 4: Simplify right side
    11,132x = 509,450,041
  5. Step 5: Solve for x
    x = 509,450,041/11,132
  6. Step 6: Final answer
    x = 45,764.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.