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Finding the Third Proportional to 26,938 and 57,540

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Solution

The third proportional to 26,938 and 57,540 is: 122,906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,938 : 57,540 = 57,540 : x
  2. Step 2: Convert to fraction form
    26,938/57,540 = 57,540/x
  3. Step 3: Cross multiply
    26,938x = 57,540 × 57,540
  4. Step 4: Simplify right side
    26,938x = 3,310,851,600
  5. Step 5: Solve for x
    x = 3,310,851,600/26,938
  6. Step 6: Final answer
    x = 122,906.36

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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.