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Finding the Third Proportional to 26,836 and 58,856

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Solution

The third proportional to 26,836 and 58,856 is: 129,081.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,836 : 58,856 = 58,856 : x
  2. Step 2: Convert to fraction form
    26,836/58,856 = 58,856/x
  3. Step 3: Cross multiply
    26,836x = 58,856 × 58,856
  4. Step 4: Simplify right side
    26,836x = 3,464,028,736
  5. Step 5: Solve for x
    x = 3,464,028,736/26,836
  6. Step 6: Final answer
    x = 129,081.41

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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.