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Finding the Third Proportional to 26,646 and 57,179

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Solution

The third proportional to 26,646 and 57,179 is: 122,699.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,646 : 57,179 = 57,179 : x
  2. Step 2: Convert to fraction form
    26,646/57,179 = 57,179/x
  3. Step 3: Cross multiply
    26,646x = 57,179 × 57,179
  4. Step 4: Simplify right side
    26,646x = 3,269,438,041
  5. Step 5: Solve for x
    x = 3,269,438,041/26,646
  6. Step 6: Final answer
    x = 122,699.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.