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Finding the Third Proportional to 26,786 and 58,824

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Solution

The third proportional to 26,786 and 58,824 is: 129,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,786 : 58,824 = 58,824 : x
  2. Step 2: Convert to fraction form
    26,786/58,824 = 58,824/x
  3. Step 3: Cross multiply
    26,786x = 58,824 × 58,824
  4. Step 4: Simplify right side
    26,786x = 3,460,262,976
  5. Step 5: Solve for x
    x = 3,460,262,976/26,786
  6. Step 6: Final answer
    x = 129,181.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.