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Finding the Third Proportional to 4,197.75 and 8,826.56

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Solution

The third proportional to 4,197.75 and 8,826.56 is: 18,559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.75 : 8,826.56 = 8,826.56 : x
  2. Step 2: Convert to fraction form
    4,197.75/8,826.56 = 8,826.56/x
  3. Step 3: Cross multiply
    4,197.75x = 8,826.56 × 8,826.56
  4. Step 4: Simplify right side
    4,197.75x = 77,908,205.57
  5. Step 5: Solve for x
    x = 77,908,205.57/4,197.75
  6. Step 6: Final answer
    x = 18,559.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.