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Finding the Third Proportional to 10,481.50 and 15,579.75

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Solution

The third proportional to 10,481.50 and 15,579.75 is: 23,157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.50 : 15,579.75 = 15,579.75 : x
  2. Step 2: Convert to fraction form
    10,481.50/15,579.75 = 15,579.75/x
  3. Step 3: Cross multiply
    10,481.50x = 15,579.75 × 15,579.75
  4. Step 4: Simplify right side
    10,481.50x = 242,728,610.06
  5. Step 5: Solve for x
    x = 242,728,610.06/10,481.50
  6. Step 6: Final answer
    x = 23,157.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.