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Finding the Third Proportional to 30,846 and 43,677

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Solution

The third proportional to 30,846 and 43,677 is: 61,845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,846 : 43,677 = 43,677 : x
  2. Step 2: Convert to fraction form
    30,846/43,677 = 43,677/x
  3. Step 3: Cross multiply
    30,846x = 43,677 × 43,677
  4. Step 4: Simplify right side
    30,846x = 1,907,680,329
  5. Step 5: Solve for x
    x = 1,907,680,329/30,846
  6. Step 6: Final answer
    x = 61,845.31

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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.