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Finding the Third Proportional to 40,887 and 84,325

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Solution

The third proportional to 40,887 and 84,325 is: 173,911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,887 : 84,325 = 84,325 : x
  2. Step 2: Convert to fraction form
    40,887/84,325 = 84,325/x
  3. Step 3: Cross multiply
    40,887x = 84,325 × 84,325
  4. Step 4: Simplify right side
    40,887x = 7,110,705,625
  5. Step 5: Solve for x
    x = 7,110,705,625/40,887
  6. Step 6: Final answer
    x = 173,911.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.