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Finding the Third Proportional to 40,684 and 87,610

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Solution

The third proportional to 40,684 and 87,610 is: 188,661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,684 : 87,610 = 87,610 : x
  2. Step 2: Convert to fraction form
    40,684/87,610 = 87,610/x
  3. Step 3: Cross multiply
    40,684x = 87,610 × 87,610
  4. Step 4: Simplify right side
    40,684x = 7,675,512,100
  5. Step 5: Solve for x
    x = 7,675,512,100/40,684
  6. Step 6: Final answer
    x = 188,661.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.