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Finding the Third Proportional to 13,852 and 18,060

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Solution

The third proportional to 13,852 and 18,060 is: 23,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852 : 18,060 = 18,060 : x
  2. Step 2: Convert to fraction form
    13,852/18,060 = 18,060/x
  3. Step 3: Cross multiply
    13,852x = 18,060 × 18,060
  4. Step 4: Simplify right side
    13,852x = 326,163,600
  5. Step 5: Solve for x
    x = 326,163,600/13,852
  6. Step 6: Final answer
    x = 23,546.32

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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.