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Finding the Third Proportional to 13,832 and 18,030

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Solution

The third proportional to 13,832 and 18,030 is: 23,502.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832 : 18,030 = 18,030 : x
  2. Step 2: Convert to fraction form
    13,832/18,030 = 18,030/x
  3. Step 3: Cross multiply
    13,832x = 18,030 × 18,030
  4. Step 4: Simplify right side
    13,832x = 325,080,900
  5. Step 5: Solve for x
    x = 325,080,900/13,832
  6. Step 6: Final answer
    x = 23,502.09

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.