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Finding the Third Proportional to 37,589.63 and 80,052.75

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Solution

The third proportional to 37,589.63 and 80,052.75 is: 170,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,589.63 : 80,052.75 = 80,052.75 : x
  2. Step 2: Convert to fraction form
    37,589.63/80,052.75 = 80,052.75/x
  3. Step 3: Cross multiply
    37,589.63x = 80,052.75 × 80,052.75
  4. Step 4: Simplify right side
    37,589.63x = 6,408,442,782.56
  5. Step 5: Solve for x
    x = 6,408,442,782.56/37,589.63
  6. Step 6: Final answer
    x = 170,484.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.