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Finding the Third Proportional to 10,137 and 22,173

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Solution

The third proportional to 10,137 and 22,173 is: 48,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137 : 22,173 = 22,173 : x
  2. Step 2: Convert to fraction form
    10,137/22,173 = 22,173/x
  3. Step 3: Cross multiply
    10,137x = 22,173 × 22,173
  4. Step 4: Simplify right side
    10,137x = 491,641,929
  5. Step 5: Solve for x
    x = 491,641,929/10,137
  6. Step 6: Final answer
    x = 48,499.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.