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Finding the Third Proportional to 12,000 and 17,848

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Solution

The third proportional to 12,000 and 17,848 is: 26,545.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000 : 17,848 = 17,848 : x
  2. Step 2: Convert to fraction form
    12,000/17,848 = 17,848/x
  3. Step 3: Cross multiply
    12,000x = 17,848 × 17,848
  4. Step 4: Simplify right side
    12,000x = 318,551,104
  5. Step 5: Solve for x
    x = 318,551,104/12,000
  6. Step 6: Final answer
    x = 26,545.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.