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Finding the Third Proportional to 747.75 and 1,743.38

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Solution

The third proportional to 747.75 and 1,743.38 is: 4,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.75 : 1,743.38 = 1,743.38 : x
  2. Step 2: Convert to fraction form
    747.75/1,743.38 = 1,743.38/x
  3. Step 3: Cross multiply
    747.75x = 1,743.38 × 1,743.38
  4. Step 4: Simplify right side
    747.75x = 3,039,356.39
  5. Step 5: Solve for x
    x = 3,039,356.39/747.75
  6. Step 6: Final answer
    x = 4,064.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.