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Finding the Third Proportional to 3,749.63 and 8,205.56

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Solution

The third proportional to 3,749.63 and 8,205.56 is: 17,956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.63 : 8,205.56 = 8,205.56 : x
  2. Step 2: Convert to fraction form
    3,749.63/8,205.56 = 8,205.56/x
  3. Step 3: Cross multiply
    3,749.63x = 8,205.56 × 8,205.56
  4. Step 4: Simplify right side
    3,749.63x = 67,331,255.94
  5. Step 5: Solve for x
    x = 67,331,255.94/3,749.63
  6. Step 6: Final answer
    x = 17,956.80

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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.