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Finding the Third Proportional to 26,837 and 58,857

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Solution

The third proportional to 26,837 and 58,857 is: 129,080.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,837 : 58,857 = 58,857 : x
  2. Step 2: Convert to fraction form
    26,837/58,857 = 58,857/x
  3. Step 3: Cross multiply
    26,837x = 58,857 × 58,857
  4. Step 4: Simplify right side
    26,837x = 3,464,146,449
  5. Step 5: Solve for x
    x = 3,464,146,449/26,837
  6. Step 6: Final answer
    x = 129,080.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.