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Finding the Third Proportional to 26,145.75 and 57,416.25

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Solution

The third proportional to 26,145.75 and 57,416.25 is: 126,086.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,145.75 : 57,416.25 = 57,416.25 : x
  2. Step 2: Convert to fraction form
    26,145.75/57,416.25 = 57,416.25/x
  3. Step 3: Cross multiply
    26,145.75x = 57,416.25 × 57,416.25
  4. Step 4: Simplify right side
    26,145.75x = 3,296,625,764.06
  5. Step 5: Solve for x
    x = 3,296,625,764.06/26,145.75
  6. Step 6: Final answer
    x = 126,086.49

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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.