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Finding the Third Proportional to 27,375.75 and 47,625.75

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Solution

The third proportional to 27,375.75 and 47,625.75 is: 82,854.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,375.75 : 47,625.75 = 47,625.75 : x
  2. Step 2: Convert to fraction form
    27,375.75/47,625.75 = 47,625.75/x
  3. Step 3: Cross multiply
    27,375.75x = 47,625.75 × 47,625.75
  4. Step 4: Simplify right side
    27,375.75x = 2,268,212,063.06
  5. Step 5: Solve for x
    x = 2,268,212,063.06/27,375.75
  6. Step 6: Final answer
    x = 82,854.79

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These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.