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Finding the Third Proportional to 7,431.75 and 16,245.56

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Solution

The third proportional to 7,431.75 and 16,245.56 is: 35,512.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.75 : 16,245.56 = 16,245.56 : x
  2. Step 2: Convert to fraction form
    7,431.75/16,245.56 = 16,245.56/x
  3. Step 3: Cross multiply
    7,431.75x = 16,245.56 × 16,245.56
  4. Step 4: Simplify right side
    7,431.75x = 263,918,300.94
  5. Step 5: Solve for x
    x = 263,918,300.94/7,431.75
  6. Step 6: Final answer
    x = 35,512.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.