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Finding the Third Proportional to 10,263 and 22,167

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Solution

The third proportional to 10,263 and 22,167 is: 47,878.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263 : 22,167 = 22,167 : x
  2. Step 2: Convert to fraction form
    10,263/22,167 = 22,167/x
  3. Step 3: Cross multiply
    10,263x = 22,167 × 22,167
  4. Step 4: Simplify right side
    10,263x = 491,375,889
  5. Step 5: Solve for x
    x = 491,375,889/10,263
  6. Step 6: Final answer
    x = 47,878.39

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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.