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Finding the Third Proportional to 41,684 and 92,584

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Solution

The third proportional to 41,684 and 92,584 is: 205,637.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,684 : 92,584 = 92,584 : x
  2. Step 2: Convert to fraction form
    41,684/92,584 = 92,584/x
  3. Step 3: Cross multiply
    41,684x = 92,584 × 92,584
  4. Step 4: Simplify right side
    41,684x = 8,571,797,056
  5. Step 5: Solve for x
    x = 8,571,797,056/41,684
  6. Step 6: Final answer
    x = 205,637.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.