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Finding the Third Proportional to 11,949.75 and 25,266.38

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Solution

The third proportional to 11,949.75 and 25,266.38 is: 53,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,949.75 : 25,266.38 = 25,266.38 : x
  2. Step 2: Convert to fraction form
    11,949.75/25,266.38 = 25,266.38/x
  3. Step 3: Cross multiply
    11,949.75x = 25,266.38 × 25,266.38
  4. Step 4: Simplify right side
    11,949.75x = 638,389,705.64
  5. Step 5: Solve for x
    x = 638,389,705.64/11,949.75
  6. Step 6: Final answer
    x = 53,422.85

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.