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Finding the Third Proportional to 7,640.26 and 16,200.32

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Solution

The third proportional to 7,640.26 and 16,200.32 is: 34,350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.26 : 16,200.32 = 16,200.32 : x
  2. Step 2: Convert to fraction form
    7,640.26/16,200.32 = 16,200.32/x
  3. Step 3: Cross multiply
    7,640.26x = 16,200.32 × 16,200.32
  4. Step 4: Simplify right side
    7,640.26x = 262,450,251.66
  5. Step 5: Solve for x
    x = 262,450,251.66/7,640.26
  6. Step 6: Final answer
    x = 34,350.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.