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Finding the Third Proportional to 39,450 and 55,489.50

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Solution

The third proportional to 39,450 and 55,489.50 is: 78,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,450 : 55,489.50 = 55,489.50 : x
  2. Step 2: Convert to fraction form
    39,450/55,489.50 = 55,489.50/x
  3. Step 3: Cross multiply
    39,450x = 55,489.50 × 55,489.50
  4. Step 4: Simplify right side
    39,450x = 3,079,084,610.25
  5. Step 5: Solve for x
    x = 3,079,084,610.25/39,450
  6. Step 6: Final answer
    x = 78,050.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.