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Finding the Third Proportional to 5,409.50 and 11,230

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Solution

The third proportional to 5,409.50 and 11,230 is: 23,313.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.50 : 11,230 = 11,230 : x
  2. Step 2: Convert to fraction form
    5,409.50/11,230 = 11,230/x
  3. Step 3: Cross multiply
    5,409.50x = 11,230 × 11,230
  4. Step 4: Simplify right side
    5,409.50x = 126,112,900
  5. Step 5: Solve for x
    x = 126,112,900/5,409.50
  6. Step 6: Final answer
    x = 23,313.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.