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Finding the Third Proportional to 26,846 and 60,652

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Solution

The third proportional to 26,846 and 60,652 is: 137,028.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,846 : 60,652 = 60,652 : x
  2. Step 2: Convert to fraction form
    26,846/60,652 = 60,652/x
  3. Step 3: Cross multiply
    26,846x = 60,652 × 60,652
  4. Step 4: Simplify right side
    26,846x = 3,678,665,104
  5. Step 5: Solve for x
    x = 3,678,665,104/26,846
  6. Step 6: Final answer
    x = 137,028.43

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.