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Finding the Third Proportional to 36,281.25 and 51,383.25

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Solution

The third proportional to 36,281.25 and 51,383.25 is: 72,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,281.25 : 51,383.25 = 51,383.25 : x
  2. Step 2: Convert to fraction form
    36,281.25/51,383.25 = 51,383.25/x
  3. Step 3: Cross multiply
    36,281.25x = 51,383.25 × 51,383.25
  4. Step 4: Simplify right side
    36,281.25x = 2,640,238,380.56
  5. Step 5: Solve for x
    x = 2,640,238,380.56/36,281.25
  6. Step 6: Final answer
    x = 72,771.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.