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Finding the Third Proportional to 26,754 and 57,212

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Solution

The third proportional to 26,754 and 57,212 is: 122,344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,754 : 57,212 = 57,212 : x
  2. Step 2: Convert to fraction form
    26,754/57,212 = 57,212/x
  3. Step 3: Cross multiply
    26,754x = 57,212 × 57,212
  4. Step 4: Simplify right side
    26,754x = 3,273,212,944
  5. Step 5: Solve for x
    x = 3,273,212,944/26,754
  6. Step 6: Final answer
    x = 122,344.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.