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Finding the Third Proportional to 4,153.78 and 6,230.67

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Solution

The third proportional to 4,153.78 and 6,230.67 is: 9,346.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.78 : 6,230.67 = 6,230.67 : x
  2. Step 2: Convert to fraction form
    4,153.78/6,230.67 = 6,230.67/x
  3. Step 3: Cross multiply
    4,153.78x = 6,230.67 × 6,230.67
  4. Step 4: Simplify right side
    4,153.78x = 38,821,272.01
  5. Step 5: Solve for x
    x = 38,821,272.01/4,153.78
  6. Step 6: Final answer
    x = 9,346.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.