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Finding the Third Proportional to 40,247.44 and 87,408.56

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Solution

The third proportional to 40,247.44 and 87,408.56 is: 189,832.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,247.44 : 87,408.56 = 87,408.56 : x
  2. Step 2: Convert to fraction form
    40,247.44/87,408.56 = 87,408.56/x
  3. Step 3: Cross multiply
    40,247.44x = 87,408.56 × 87,408.56
  4. Step 4: Simplify right side
    40,247.44x = 7,640,256,798.32
  5. Step 5: Solve for x
    x = 7,640,256,798.32/40,247.44
  6. Step 6: Final answer
    x = 189,832.13

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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.