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Finding the Third Proportional to 11,287 and 22,847

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Solution

The third proportional to 11,287 and 22,847 is: 46,246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287 : 22,847 = 22,847 : x
  2. Step 2: Convert to fraction form
    11,287/22,847 = 22,847/x
  3. Step 3: Cross multiply
    11,287x = 22,847 × 22,847
  4. Step 4: Simplify right side
    11,287x = 521,985,409
  5. Step 5: Solve for x
    x = 521,985,409/11,287
  6. Step 6: Final answer
    x = 46,246.60

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.