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Finding the Third Proportional to 2,276.44 and 3,497.34

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Solution

The third proportional to 2,276.44 and 3,497.34 is: 5,373.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.44 : 3,497.34 = 3,497.34 : x
  2. Step 2: Convert to fraction form
    2,276.44/3,497.34 = 3,497.34/x
  3. Step 3: Cross multiply
    2,276.44x = 3,497.34 × 3,497.34
  4. Step 4: Simplify right side
    2,276.44x = 12,231,413.31
  5. Step 5: Solve for x
    x = 12,231,413.31/2,276.44
  6. Step 6: Final answer
    x = 5,373.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.