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Finding the Third Proportional to 9,422 and 20,726

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Solution

The third proportional to 9,422 and 20,726 is: 45,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422 : 20,726 = 20,726 : x
  2. Step 2: Convert to fraction form
    9,422/20,726 = 20,726/x
  3. Step 3: Cross multiply
    9,422x = 20,726 × 20,726
  4. Step 4: Simplify right side
    9,422x = 429,567,076
  5. Step 5: Solve for x
    x = 429,567,076/9,422
  6. Step 6: Final answer
    x = 45,591.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.