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Finding the Third Proportional to 3,441.23 and 7,465.92

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Solution

The third proportional to 3,441.23 and 7,465.92 is: 16,197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.23 : 7,465.92 = 7,465.92 : x
  2. Step 2: Convert to fraction form
    3,441.23/7,465.92 = 7,465.92/x
  3. Step 3: Cross multiply
    3,441.23x = 7,465.92 × 7,465.92
  4. Step 4: Simplify right side
    3,441.23x = 55,739,989.44
  5. Step 5: Solve for x
    x = 55,739,989.44/3,441.23
  6. Step 6: Final answer
    x = 16,197.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.