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Finding the Third Proportional to 37,622.25 and 56,249.44

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Solution

The third proportional to 37,622.25 and 56,249.44 is: 84,099.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,622.25 : 56,249.44 = 56,249.44 : x
  2. Step 2: Convert to fraction form
    37,622.25/56,249.44 = 56,249.44/x
  3. Step 3: Cross multiply
    37,622.25x = 56,249.44 × 56,249.44
  4. Step 4: Simplify right side
    37,622.25x = 3,163,999,219.07
  5. Step 5: Solve for x
    x = 3,163,999,219.07/37,622.25
  6. Step 6: Final answer
    x = 84,099.15

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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.