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Finding the Third Proportional to 26,812 and 57,307

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Solution

The third proportional to 26,812 and 57,307 is: 122,485.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,812 : 57,307 = 57,307 : x
  2. Step 2: Convert to fraction form
    26,812/57,307 = 57,307/x
  3. Step 3: Cross multiply
    26,812x = 57,307 × 57,307
  4. Step 4: Simplify right side
    26,812x = 3,284,092,249
  5. Step 5: Solve for x
    x = 3,284,092,249/26,812
  6. Step 6: Final answer
    x = 122,485.91

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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.