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Finding the Third Proportional to 26,422 and 57,743

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Solution

The third proportional to 26,422 and 57,743 is: 126,192.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,422 : 57,743 = 57,743 : x
  2. Step 2: Convert to fraction form
    26,422/57,743 = 57,743/x
  3. Step 3: Cross multiply
    26,422x = 57,743 × 57,743
  4. Step 4: Simplify right side
    26,422x = 3,334,254,049
  5. Step 5: Solve for x
    x = 3,334,254,049/26,422
  6. Step 6: Final answer
    x = 126,192.34

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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.