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Finding the Third Proportional to 51,869 and 56,189

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Solution

The third proportional to 51,869 and 56,189 is: 60,868.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,869 : 56,189 = 56,189 : x
  2. Step 2: Convert to fraction form
    51,869/56,189 = 56,189/x
  3. Step 3: Cross multiply
    51,869x = 56,189 × 56,189
  4. Step 4: Simplify right side
    51,869x = 3,157,203,721
  5. Step 5: Solve for x
    x = 3,157,203,721/51,869
  6. Step 6: Final answer
    x = 60,868.80

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.