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Finding the Third Proportional to 745.21 and 1,618.56

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Solution

The third proportional to 745.21 and 1,618.56 is: 3,515.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.21 : 1,618.56 = 1,618.56 : x
  2. Step 2: Convert to fraction form
    745.21/1,618.56 = 1,618.56/x
  3. Step 3: Cross multiply
    745.21x = 1,618.56 × 1,618.56
  4. Step 4: Simplify right side
    745.21x = 2,619,731.92
  5. Step 5: Solve for x
    x = 2,619,731.92/745.21
  6. Step 6: Final answer
    x = 3,515.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.