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Finding the Third Proportional to 11,898 and 12,978

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Solution

The third proportional to 11,898 and 12,978 is: 14,156.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898 : 12,978 = 12,978 : x
  2. Step 2: Convert to fraction form
    11,898/12,978 = 12,978/x
  3. Step 3: Cross multiply
    11,898x = 12,978 × 12,978
  4. Step 4: Simplify right side
    11,898x = 168,428,484
  5. Step 5: Solve for x
    x = 168,428,484/11,898
  6. Step 6: Final answer
    x = 14,156.03

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.