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Finding the Third Proportional to 9,322 and 20,279

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Solution

The third proportional to 9,322 and 20,279 is: 44,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322 : 20,279 = 20,279 : x
  2. Step 2: Convert to fraction form
    9,322/20,279 = 20,279/x
  3. Step 3: Cross multiply
    9,322x = 20,279 × 20,279
  4. Step 4: Simplify right side
    9,322x = 411,237,841
  5. Step 5: Solve for x
    x = 411,237,841/9,322
  6. Step 6: Final answer
    x = 44,114.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.