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Finding the Third Proportional to 13,135 and 19,945

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Solution

The third proportional to 13,135 and 19,945 is: 30,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135 : 19,945 = 19,945 : x
  2. Step 2: Convert to fraction form
    13,135/19,945 = 19,945/x
  3. Step 3: Cross multiply
    13,135x = 19,945 × 19,945
  4. Step 4: Simplify right side
    13,135x = 397,803,025
  5. Step 5: Solve for x
    x = 397,803,025/13,135
  6. Step 6: Final answer
    x = 30,285.73

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.