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Finding the Third Proportional to 26,018 and 57,859

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Solution

The third proportional to 26,018 and 57,859 is: 128,667.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,018 : 57,859 = 57,859 : x
  2. Step 2: Convert to fraction form
    26,018/57,859 = 57,859/x
  3. Step 3: Cross multiply
    26,018x = 57,859 × 57,859
  4. Step 4: Simplify right side
    26,018x = 3,347,663,881
  5. Step 5: Solve for x
    x = 3,347,663,881/26,018
  6. Step 6: Final answer
    x = 128,667.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.