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Finding the Third Proportional to 25,036 and 54,994

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Solution

The third proportional to 25,036 and 54,994 is: 120,799.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,036 : 54,994 = 54,994 : x
  2. Step 2: Convert to fraction form
    25,036/54,994 = 54,994/x
  3. Step 3: Cross multiply
    25,036x = 54,994 × 54,994
  4. Step 4: Simplify right side
    25,036x = 3,024,340,036
  5. Step 5: Solve for x
    x = 3,024,340,036/25,036
  6. Step 6: Final answer
    x = 120,799.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.