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Finding the Third Proportional to 11,848 and 17,788

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Solution

The third proportional to 11,848 and 17,788 is: 26,706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848 : 17,788 = 17,788 : x
  2. Step 2: Convert to fraction form
    11,848/17,788 = 17,788/x
  3. Step 3: Cross multiply
    11,848x = 17,788 × 17,788
  4. Step 4: Simplify right side
    11,848x = 316,412,944
  5. Step 5: Solve for x
    x = 316,412,944/11,848
  6. Step 6: Final answer
    x = 26,706.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.