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Finding the Third Proportional to 11,966 and 26,212

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Solution

The third proportional to 11,966 and 26,212 is: 57,418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966 : 26,212 = 26,212 : x
  2. Step 2: Convert to fraction form
    11,966/26,212 = 26,212/x
  3. Step 3: Cross multiply
    11,966x = 26,212 × 26,212
  4. Step 4: Simplify right side
    11,966x = 687,068,944
  5. Step 5: Solve for x
    x = 687,068,944/11,966
  6. Step 6: Final answer
    x = 57,418.43

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1.5x scale

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.