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Finding the Third Proportional to 9,322 and 20,181

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Solution

The third proportional to 9,322 and 20,181 is: 43,689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322 : 20,181 = 20,181 : x
  2. Step 2: Convert to fraction form
    9,322/20,181 = 20,181/x
  3. Step 3: Cross multiply
    9,322x = 20,181 × 20,181
  4. Step 4: Simplify right side
    9,322x = 407,272,761
  5. Step 5: Solve for x
    x = 407,272,761/9,322
  6. Step 6: Final answer
    x = 43,689.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.