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Finding the Third Proportional to 31,164.75 and 39,867.19

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Solution

The third proportional to 31,164.75 and 39,867.19 is: 50,999.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164.75 : 39,867.19 = 39,867.19 : x
  2. Step 2: Convert to fraction form
    31,164.75/39,867.19 = 39,867.19/x
  3. Step 3: Cross multiply
    31,164.75x = 39,867.19 × 39,867.19
  4. Step 4: Simplify right side
    31,164.75x = 1,589,392,639.16
  5. Step 5: Solve for x
    x = 1,589,392,639.16/31,164.75
  6. Step 6: Final answer
    x = 50,999.69

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.