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Finding the Third Proportional to 11,944 and 25,649

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Solution

The third proportional to 11,944 and 25,649 is: 55,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944 : 25,649 = 25,649 : x
  2. Step 2: Convert to fraction form
    11,944/25,649 = 25,649/x
  3. Step 3: Cross multiply
    11,944x = 25,649 × 25,649
  4. Step 4: Simplify right side
    11,944x = 657,871,201
  5. Step 5: Solve for x
    x = 657,871,201/11,944
  6. Step 6: Final answer
    x = 55,079.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.