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Finding the Third Proportional to 26,502 and 37,149

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Solution

The third proportional to 26,502 and 37,149 is: 52,073.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,502 : 37,149 = 37,149 : x
  2. Step 2: Convert to fraction form
    26,502/37,149 = 37,149/x
  3. Step 3: Cross multiply
    26,502x = 37,149 × 37,149
  4. Step 4: Simplify right side
    26,502x = 1,380,048,201
  5. Step 5: Solve for x
    x = 1,380,048,201/26,502
  6. Step 6: Final answer
    x = 52,073.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.