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Finding the Third Proportional to 1,232.72 and 2,704.01

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Solution

The third proportional to 1,232.72 and 2,704.01 is: 5,931.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.72 : 2,704.01 = 2,704.01 : x
  2. Step 2: Convert to fraction form
    1,232.72/2,704.01 = 2,704.01/x
  3. Step 3: Cross multiply
    1,232.72x = 2,704.01 × 2,704.01
  4. Step 4: Simplify right side
    1,232.72x = 7,311,658.25
  5. Step 5: Solve for x
    x = 7,311,658.25/1,232.72
  6. Step 6: Final answer
    x = 5,931.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.