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Finding the Third Proportional to 26,074 and 34,575

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Solution

The third proportional to 26,074 and 34,575 is: 45,847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,074 : 34,575 = 34,575 : x
  2. Step 2: Convert to fraction form
    26,074/34,575 = 34,575/x
  3. Step 3: Cross multiply
    26,074x = 34,575 × 34,575
  4. Step 4: Simplify right side
    26,074x = 1,195,430,625
  5. Step 5: Solve for x
    x = 1,195,430,625/26,074
  6. Step 6: Final answer
    x = 45,847.61

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.