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Finding the Third Proportional to 11,848 and 18,948

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Solution

The third proportional to 11,848 and 18,948 is: 30,302.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848 : 18,948 = 18,948 : x
  2. Step 2: Convert to fraction form
    11,848/18,948 = 18,948/x
  3. Step 3: Cross multiply
    11,848x = 18,948 × 18,948
  4. Step 4: Simplify right side
    11,848x = 359,026,704
  5. Step 5: Solve for x
    x = 359,026,704/11,848
  6. Step 6: Final answer
    x = 30,302.73

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.