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Finding the Third Proportional to 18,922 and 25,709.75

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Solution

The third proportional to 18,922 and 25,709.75 is: 34,932.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,922 : 25,709.75 = 25,709.75 : x
  2. Step 2: Convert to fraction form
    18,922/25,709.75 = 25,709.75/x
  3. Step 3: Cross multiply
    18,922x = 25,709.75 × 25,709.75
  4. Step 4: Simplify right side
    18,922x = 660,991,245.06
  5. Step 5: Solve for x
    x = 660,991,245.06/18,922
  6. Step 6: Final answer
    x = 34,932.42

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.