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Finding the Third Proportional to 1,544.06 and 2,404.69

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Solution

The third proportional to 1,544.06 and 2,404.69 is: 3,745.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.06 : 2,404.69 = 2,404.69 : x
  2. Step 2: Convert to fraction form
    1,544.06/2,404.69 = 2,404.69/x
  3. Step 3: Cross multiply
    1,544.06x = 2,404.69 × 2,404.69
  4. Step 4: Simplify right side
    1,544.06x = 5,782,521.97
  5. Step 5: Solve for x
    x = 5,782,521.97/1,544.06
  6. Step 6: Final answer
    x = 3,745.01

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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.