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Finding the Third Proportional to 39,886 and 87,016

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Solution

The third proportional to 39,886 and 87,016 is: 189,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,886 : 87,016 = 87,016 : x
  2. Step 2: Convert to fraction form
    39,886/87,016 = 87,016/x
  3. Step 3: Cross multiply
    39,886x = 87,016 × 87,016
  4. Step 4: Simplify right side
    39,886x = 7,571,784,256
  5. Step 5: Solve for x
    x = 7,571,784,256/39,886
  6. Step 6: Final answer
    x = 189,835.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.