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Finding the Third Proportional to 13,945 and 19,505

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Solution

The third proportional to 13,945 and 19,505 is: 27,281.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,945 : 19,505 = 19,505 : x
  2. Step 2: Convert to fraction form
    13,945/19,505 = 19,505/x
  3. Step 3: Cross multiply
    13,945x = 19,505 × 19,505
  4. Step 4: Simplify right side
    13,945x = 380,445,025
  5. Step 5: Solve for x
    x = 380,445,025/13,945
  6. Step 6: Final answer
    x = 27,281.82

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.