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Finding the Third Proportional to 39,778.50 and 85,983

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Solution

The third proportional to 39,778.50 and 85,983 is: 185,856.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,778.50 : 85,983 = 85,983 : x
  2. Step 2: Convert to fraction form
    39,778.50/85,983 = 85,983/x
  3. Step 3: Cross multiply
    39,778.50x = 85,983 × 85,983
  4. Step 4: Simplify right side
    39,778.50x = 7,393,076,289
  5. Step 5: Solve for x
    x = 7,393,076,289/39,778.50
  6. Step 6: Final answer
    x = 185,856.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.