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Finding the Third Proportional to 26,997 and 42,025

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Solution

The third proportional to 26,997 and 42,025 is: 65,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,997 : 42,025 = 42,025 : x
  2. Step 2: Convert to fraction form
    26,997/42,025 = 42,025/x
  3. Step 3: Cross multiply
    26,997x = 42,025 × 42,025
  4. Step 4: Simplify right side
    26,997x = 1,766,100,625
  5. Step 5: Solve for x
    x = 1,766,100,625/26,997
  6. Step 6: Final answer
    x = 65,418.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.