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Finding the Third Proportional to 13,900 and 18,150

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Solution

The third proportional to 13,900 and 18,150 is: 23,699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900 : 18,150 = 18,150 : x
  2. Step 2: Convert to fraction form
    13,900/18,150 = 18,150/x
  3. Step 3: Cross multiply
    13,900x = 18,150 × 18,150
  4. Step 4: Simplify right side
    13,900x = 329,422,500
  5. Step 5: Solve for x
    x = 329,422,500/13,900
  6. Step 6: Final answer
    x = 23,699.46

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.