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Finding the Third Proportional to 39,784.50 and 85,995

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Solution

The third proportional to 39,784.50 and 85,995 is: 185,879.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,784.50 : 85,995 = 85,995 : x
  2. Step 2: Convert to fraction form
    39,784.50/85,995 = 85,995/x
  3. Step 3: Cross multiply
    39,784.50x = 85,995 × 85,995
  4. Step 4: Simplify right side
    39,784.50x = 7,395,140,025
  5. Step 5: Solve for x
    x = 7,395,140,025/39,784.50
  6. Step 6: Final answer
    x = 185,879.93

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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.