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Finding the Third Proportional to 745.13 and 1,523.63

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Solution

The third proportional to 745.13 and 1,523.63 is: 3,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.13 : 1,523.63 = 1,523.63 : x
  2. Step 2: Convert to fraction form
    745.13/1,523.63 = 1,523.63/x
  3. Step 3: Cross multiply
    745.13x = 1,523.63 × 1,523.63
  4. Step 4: Simplify right side
    745.13x = 2,321,433.14
  5. Step 5: Solve for x
    x = 2,321,433.14/745.13
  6. Step 6: Final answer
    x = 3,115.49

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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.