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Finding the Third Proportional to 24,054.75 and 37,793.25

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Solution

The third proportional to 24,054.75 and 37,793.25 is: 59,378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,054.75 : 37,793.25 = 37,793.25 : x
  2. Step 2: Convert to fraction form
    24,054.75/37,793.25 = 37,793.25/x
  3. Step 3: Cross multiply
    24,054.75x = 37,793.25 × 37,793.25
  4. Step 4: Simplify right side
    24,054.75x = 1,428,329,745.56
  5. Step 5: Solve for x
    x = 1,428,329,745.56/24,054.75
  6. Step 6: Final answer
    x = 59,378.28

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.