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Finding the Third Proportional to 13,944 and 19,852

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Solution

The third proportional to 13,944 and 19,852 is: 28,263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,944 : 19,852 = 19,852 : x
  2. Step 2: Convert to fraction form
    13,944/19,852 = 19,852/x
  3. Step 3: Cross multiply
    13,944x = 19,852 × 19,852
  4. Step 4: Simplify right side
    13,944x = 394,101,904
  5. Step 5: Solve for x
    x = 394,101,904/13,944
  6. Step 6: Final answer
    x = 28,263.19

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.