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Finding the Third Proportional to 26,208.50 and 37,049

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Solution

The third proportional to 26,208.50 and 37,049 is: 52,373.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,208.50 : 37,049 = 37,049 : x
  2. Step 2: Convert to fraction form
    26,208.50/37,049 = 37,049/x
  3. Step 3: Cross multiply
    26,208.50x = 37,049 × 37,049
  4. Step 4: Simplify right side
    26,208.50x = 1,372,628,401
  5. Step 5: Solve for x
    x = 1,372,628,401/26,208.50
  6. Step 6: Final answer
    x = 52,373.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.