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Finding the Third Proportional to 13,852 and 18,925

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Solution

The third proportional to 13,852 and 18,925 is: 25,855.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852 : 18,925 = 18,925 : x
  2. Step 2: Convert to fraction form
    13,852/18,925 = 18,925/x
  3. Step 3: Cross multiply
    13,852x = 18,925 × 18,925
  4. Step 4: Simplify right side
    13,852x = 358,155,625
  5. Step 5: Solve for x
    x = 358,155,625/13,852
  6. Step 6: Final answer
    x = 25,855.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.