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Finding the Third Proportional to 30,869 and 41,827

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Solution

The third proportional to 30,869 and 41,827 is: 56,674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,869 : 41,827 = 41,827 : x
  2. Step 2: Convert to fraction form
    30,869/41,827 = 41,827/x
  3. Step 3: Cross multiply
    30,869x = 41,827 × 41,827
  4. Step 4: Simplify right side
    30,869x = 1,749,497,929
  5. Step 5: Solve for x
    x = 1,749,497,929/30,869
  6. Step 6: Final answer
    x = 56,674.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.