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Finding the Third Proportional to 26,866 and 58,346

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Solution

The third proportional to 26,866 and 58,346 is: 126,712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,866 : 58,346 = 58,346 : x
  2. Step 2: Convert to fraction form
    26,866/58,346 = 58,346/x
  3. Step 3: Cross multiply
    26,866x = 58,346 × 58,346
  4. Step 4: Simplify right side
    26,866x = 3,404,255,716
  5. Step 5: Solve for x
    x = 3,404,255,716/26,866
  6. Step 6: Final answer
    x = 126,712.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.