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Finding the Third Proportional to 3,216.75 and 3,520.50

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Solution

The third proportional to 3,216.75 and 3,520.50 is: 3,852.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.75 : 3,520.50 = 3,520.50 : x
  2. Step 2: Convert to fraction form
    3,216.75/3,520.50 = 3,520.50/x
  3. Step 3: Cross multiply
    3,216.75x = 3,520.50 × 3,520.50
  4. Step 4: Simplify right side
    3,216.75x = 12,393,920.25
  5. Step 5: Solve for x
    x = 12,393,920.25/3,216.75
  6. Step 6: Final answer
    x = 3,852.93

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.