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Finding the Third Proportional to 10,642 and 23,149

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Solution

The third proportional to 10,642 and 23,149 is: 50,354.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642 : 23,149 = 23,149 : x
  2. Step 2: Convert to fraction form
    10,642/23,149 = 23,149/x
  3. Step 3: Cross multiply
    10,642x = 23,149 × 23,149
  4. Step 4: Simplify right side
    10,642x = 535,876,201
  5. Step 5: Solve for x
    x = 535,876,201/10,642
  6. Step 6: Final answer
    x = 50,354.84

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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.