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Finding the Third Proportional to 11,328.75 and 18,450.56

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Solution

The third proportional to 11,328.75 and 18,450.56 is: 30,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,328.75 : 18,450.56 = 18,450.56 : x
  2. Step 2: Convert to fraction form
    11,328.75/18,450.56 = 18,450.56/x
  3. Step 3: Cross multiply
    11,328.75x = 18,450.56 × 18,450.56
  4. Step 4: Simplify right side
    11,328.75x = 340,423,256.57
  5. Step 5: Solve for x
    x = 340,423,256.57/11,328.75
  6. Step 6: Final answer
    x = 30,049.50

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.