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Finding the Third Proportional to 26,858 and 58,496

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Solution

The third proportional to 26,858 and 58,496 is: 127,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,858 : 58,496 = 58,496 : x
  2. Step 2: Convert to fraction form
    26,858/58,496 = 58,496/x
  3. Step 3: Cross multiply
    26,858x = 58,496 × 58,496
  4. Step 4: Simplify right side
    26,858x = 3,421,782,016
  5. Step 5: Solve for x
    x = 3,421,782,016/26,858
  6. Step 6: Final answer
    x = 127,402.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.