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Finding the Third Proportional to 36,927.56 and 80,537.63

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Solution

The third proportional to 36,927.56 and 80,537.63 is: 175,649.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,927.56 : 80,537.63 = 80,537.63 : x
  2. Step 2: Convert to fraction form
    36,927.56/80,537.63 = 80,537.63/x
  3. Step 3: Cross multiply
    36,927.56x = 80,537.63 × 80,537.63
  4. Step 4: Simplify right side
    36,927.56x = 6,486,309,040.64
  5. Step 5: Solve for x
    x = 6,486,309,040.64/36,927.56
  6. Step 6: Final answer
    x = 175,649.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.