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Finding the Third Proportional to 22,722 and 47,532

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Solution

The third proportional to 22,722 and 47,532 is: 99,431.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,722 : 47,532 = 47,532 : x
  2. Step 2: Convert to fraction form
    22,722/47,532 = 47,532/x
  3. Step 3: Cross multiply
    22,722x = 47,532 × 47,532
  4. Step 4: Simplify right side
    22,722x = 2,259,291,024
  5. Step 5: Solve for x
    x = 2,259,291,024/22,722
  6. Step 6: Final answer
    x = 99,431.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.