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Finding the Third Proportional to 3,409.03 and 7,230.66

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Solution

The third proportional to 3,409.03 and 7,230.66 is: 15,336.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.03 : 7,230.66 = 7,230.66 : x
  2. Step 2: Convert to fraction form
    3,409.03/7,230.66 = 7,230.66/x
  3. Step 3: Cross multiply
    3,409.03x = 7,230.66 × 7,230.66
  4. Step 4: Simplify right side
    3,409.03x = 52,282,389.81
  5. Step 5: Solve for x
    x = 52,282,389.81/3,409.03
  6. Step 6: Final answer
    x = 15,336.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.