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Finding the Third Proportional to 5,235.75 and 8,093.25

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Solution

The third proportional to 5,235.75 and 8,093.25 is: 12,510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.75 : 8,093.25 = 8,093.25 : x
  2. Step 2: Convert to fraction form
    5,235.75/8,093.25 = 8,093.25/x
  3. Step 3: Cross multiply
    5,235.75x = 8,093.25 × 8,093.25
  4. Step 4: Simplify right side
    5,235.75x = 65,500,695.56
  5. Step 5: Solve for x
    x = 65,500,695.56/5,235.75
  6. Step 6: Final answer
    x = 12,510.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.