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Finding the Third Proportional to 1,832.63 and 3,729.94

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Solution

The third proportional to 1,832.63 and 3,729.94 is: 7,591.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.63 : 3,729.94 = 3,729.94 : x
  2. Step 2: Convert to fraction form
    1,832.63/3,729.94 = 3,729.94/x
  3. Step 3: Cross multiply
    1,832.63x = 3,729.94 × 3,729.94
  4. Step 4: Simplify right side
    1,832.63x = 13,912,433.75
  5. Step 5: Solve for x
    x = 13,912,433.75/1,832.63
  6. Step 6: Final answer
    x = 7,591.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.