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Finding the Third Proportional to 36,756 and 54,989.25

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Solution

The third proportional to 36,756 and 54,989.25 is: 82,267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,756 : 54,989.25 = 54,989.25 : x
  2. Step 2: Convert to fraction form
    36,756/54,989.25 = 54,989.25/x
  3. Step 3: Cross multiply
    36,756x = 54,989.25 × 54,989.25
  4. Step 4: Simplify right side
    36,756x = 3,023,817,615.56
  5. Step 5: Solve for x
    x = 3,023,817,615.56/36,756
  6. Step 6: Final answer
    x = 82,267.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.