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Finding the Third Proportional to 30,772.25 and 44,936.75

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Solution

The third proportional to 30,772.25 and 44,936.75 is: 65,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,772.25 : 44,936.75 = 44,936.75 : x
  2. Step 2: Convert to fraction form
    30,772.25/44,936.75 = 44,936.75/x
  3. Step 3: Cross multiply
    30,772.25x = 44,936.75 × 44,936.75
  4. Step 4: Simplify right side
    30,772.25x = 2,019,311,500.56
  5. Step 5: Solve for x
    x = 2,019,311,500.56/30,772.25
  6. Step 6: Final answer
    x = 65,621.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.