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Finding the Third Proportional to 2,267.23 and 3,503.32

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Solution

The third proportional to 2,267.23 and 3,503.32 is: 5,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.23 : 3,503.32 = 3,503.32 : x
  2. Step 2: Convert to fraction form
    2,267.23/3,503.32 = 3,503.32/x
  3. Step 3: Cross multiply
    2,267.23x = 3,503.32 × 3,503.32
  4. Step 4: Simplify right side
    2,267.23x = 12,273,253.21
  5. Step 5: Solve for x
    x = 12,273,253.21/2,267.23
  6. Step 6: Final answer
    x = 5,413.33

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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.