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Finding the Third Proportional to 26,828.86 and 58,270.64

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Solution

The third proportional to 26,828.86 and 58,270.64 is: 126,560.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,828.86 : 58,270.64 = 58,270.64 : x
  2. Step 2: Convert to fraction form
    26,828.86/58,270.64 = 58,270.64/x
  3. Step 3: Cross multiply
    26,828.86x = 58,270.64 × 58,270.64
  4. Step 4: Simplify right side
    26,828.86x = 3,395,467,558.85
  5. Step 5: Solve for x
    x = 3,395,467,558.85/26,828.86
  6. Step 6: Final answer
    x = 126,560.27

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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.