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Finding the Third Proportional to 28.93 and 37.60

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Solution

The third proportional to 28.93 and 37.60 is: 48.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.93 : 37.60 = 37.60 : x
  2. Step 2: Convert to fraction form
    28.93/37.60 = 37.60/x
  3. Step 3: Cross multiply
    28.93x = 37.60 × 37.60
  4. Step 4: Simplify right side
    28.93x = 1,413.99
  5. Step 5: Solve for x
    x = 1,413.99/28.93
  6. Step 6: Final answer
    x = 48.88

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.