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Finding the Third Proportional to 26,401.50 and 41,175

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Solution

The third proportional to 26,401.50 and 41,175 is: 64,215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,401.50 : 41,175 = 41,175 : x
  2. Step 2: Convert to fraction form
    26,401.50/41,175 = 41,175/x
  3. Step 3: Cross multiply
    26,401.50x = 41,175 × 41,175
  4. Step 4: Simplify right side
    26,401.50x = 1,695,380,625
  5. Step 5: Solve for x
    x = 1,695,380,625/26,401.50
  6. Step 6: Final answer
    x = 64,215.31

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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.