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Finding the Third Proportional to 39,991 and 92,581

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Solution

The third proportional to 39,991 and 92,581 is: 214,329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,991 : 92,581 = 92,581 : x
  2. Step 2: Convert to fraction form
    39,991/92,581 = 92,581/x
  3. Step 3: Cross multiply
    39,991x = 92,581 × 92,581
  4. Step 4: Simplify right side
    39,991x = 8,571,241,561
  5. Step 5: Solve for x
    x = 8,571,241,561/39,991
  6. Step 6: Final answer
    x = 214,329.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.