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Finding the Third Proportional to 5,978 and 13,108

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Solution

The third proportional to 5,978 and 13,108 is: 28,742.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978 : 13,108 = 13,108 : x
  2. Step 2: Convert to fraction form
    5,978/13,108 = 13,108/x
  3. Step 3: Cross multiply
    5,978x = 13,108 × 13,108
  4. Step 4: Simplify right side
    5,978x = 171,819,664
  5. Step 5: Solve for x
    x = 171,819,664/5,978
  6. Step 6: Final answer
    x = 28,742.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.