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Finding the Third Proportional to 737.75 and 1,151.38

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Solution

The third proportional to 737.75 and 1,151.38 is: 1,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.75 : 1,151.38 = 1,151.38 : x
  2. Step 2: Convert to fraction form
    737.75/1,151.38 = 1,151.38/x
  3. Step 3: Cross multiply
    737.75x = 1,151.38 × 1,151.38
  4. Step 4: Simplify right side
    737.75x = 1,325,664.39
  5. Step 5: Solve for x
    x = 1,325,664.39/737.75
  6. Step 6: Final answer
    x = 1,796.90

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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.