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Finding the Third Proportional to 2,273.63 and 3,413.53

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Solution

The third proportional to 2,273.63 and 3,413.53 is: 5,124.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.63 : 3,413.53 = 3,413.53 : x
  2. Step 2: Convert to fraction form
    2,273.63/3,413.53 = 3,413.53/x
  3. Step 3: Cross multiply
    2,273.63x = 3,413.53 × 3,413.53
  4. Step 4: Simplify right side
    2,273.63x = 11,652,195.59
  5. Step 5: Solve for x
    x = 11,652,195.59/2,273.63
  6. Step 6: Final answer
    x = 5,124.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.