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Finding the Third Proportional to 26,114 and 36,075

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Solution

The third proportional to 26,114 and 36,075 is: 49,835.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,114 : 36,075 = 36,075 : x
  2. Step 2: Convert to fraction form
    26,114/36,075 = 36,075/x
  3. Step 3: Cross multiply
    26,114x = 36,075 × 36,075
  4. Step 4: Simplify right side
    26,114x = 1,301,405,625
  5. Step 5: Solve for x
    x = 1,301,405,625/26,114
  6. Step 6: Final answer
    x = 49,835.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.