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Finding the Third Proportional to 36,483.75 and 54,745.88

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Solution

The third proportional to 36,483.75 and 54,745.88 is: 82,149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,483.75 : 54,745.88 = 54,745.88 : x
  2. Step 2: Convert to fraction form
    36,483.75/54,745.88 = 54,745.88/x
  3. Step 3: Cross multiply
    36,483.75x = 54,745.88 × 54,745.88
  4. Step 4: Simplify right side
    36,483.75x = 2,997,110,829.52
  5. Step 5: Solve for x
    x = 2,997,110,829.52/36,483.75
  6. Step 6: Final answer
    x = 82,149.20

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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.