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Finding the Third Proportional to 13,648 and 30,045

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Solution

The third proportional to 13,648 and 30,045 is: 66,141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648 : 30,045 = 30,045 : x
  2. Step 2: Convert to fraction form
    13,648/30,045 = 30,045/x
  3. Step 3: Cross multiply
    13,648x = 30,045 × 30,045
  4. Step 4: Simplify right side
    13,648x = 902,702,025
  5. Step 5: Solve for x
    x = 902,702,025/13,648
  6. Step 6: Final answer
    x = 66,141.71

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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.