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Finding the Third Proportional to 3,430.69 and 5,183.44

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Solution

The third proportional to 3,430.69 and 5,183.44 is: 7,831.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.69 : 5,183.44 = 5,183.44 : x
  2. Step 2: Convert to fraction form
    3,430.69/5,183.44 = 5,183.44/x
  3. Step 3: Cross multiply
    3,430.69x = 5,183.44 × 5,183.44
  4. Step 4: Simplify right side
    3,430.69x = 26,868,024.32
  5. Step 5: Solve for x
    x = 26,868,024.32/3,430.69
  6. Step 6: Final answer
    x = 7,831.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.