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Finding the Third Proportional to 26,709.75 and 38,495.25

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Solution

The third proportional to 26,709.75 and 38,495.25 is: 55,481.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,709.75 : 38,495.25 = 38,495.25 : x
  2. Step 2: Convert to fraction form
    26,709.75/38,495.25 = 38,495.25/x
  3. Step 3: Cross multiply
    26,709.75x = 38,495.25 × 38,495.25
  4. Step 4: Simplify right side
    26,709.75x = 1,481,884,272.56
  5. Step 5: Solve for x
    x = 1,481,884,272.56/26,709.75
  6. Step 6: Final answer
    x = 55,481.02

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.