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Finding the Third Proportional to 11,662.88 and 30,388.50

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Solution

The third proportional to 11,662.88 and 30,388.50 is: 79,179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.88 : 30,388.50 = 30,388.50 : x
  2. Step 2: Convert to fraction form
    11,662.88/30,388.50 = 30,388.50/x
  3. Step 3: Cross multiply
    11,662.88x = 30,388.50 × 30,388.50
  4. Step 4: Simplify right side
    11,662.88x = 923,460,932.25
  5. Step 5: Solve for x
    x = 923,460,932.25/11,662.88
  6. Step 6: Final answer
    x = 79,179.53

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.