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Finding the Third Proportional to 39,944 and 87,740.50

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Solution

The third proportional to 39,944 and 87,740.50 is: 192,729.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,944 : 87,740.50 = 87,740.50 : x
  2. Step 2: Convert to fraction form
    39,944/87,740.50 = 87,740.50/x
  3. Step 3: Cross multiply
    39,944x = 87,740.50 × 87,740.50
  4. Step 4: Simplify right side
    39,944x = 7,698,395,340.25
  5. Step 5: Solve for x
    x = 7,698,395,340.25/39,944
  6. Step 6: Final answer
    x = 192,729.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.