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Finding the Third Proportional to 38,799 and 94,992.75

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Solution

The third proportional to 38,799 and 94,992.75 is: 232,573.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,799 : 94,992.75 = 94,992.75 : x
  2. Step 2: Convert to fraction form
    38,799/94,992.75 = 94,992.75/x
  3. Step 3: Cross multiply
    38,799x = 94,992.75 × 94,992.75
  4. Step 4: Simplify right side
    38,799x = 9,023,622,552.56
  5. Step 5: Solve for x
    x = 9,023,622,552.56/38,799
  6. Step 6: Final answer
    x = 232,573.59

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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.