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Finding the Third Proportional to 23,794 and 37,075

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Solution

The third proportional to 23,794 and 37,075 is: 57,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,794 : 37,075 = 37,075 : x
  2. Step 2: Convert to fraction form
    23,794/37,075 = 37,075/x
  3. Step 3: Cross multiply
    23,794x = 37,075 × 37,075
  4. Step 4: Simplify right side
    23,794x = 1,374,555,625
  5. Step 5: Solve for x
    x = 1,374,555,625/23,794
  6. Step 6: Final answer
    x = 57,769.00

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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.