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Finding the Third Proportional to 43,892 and 63,846

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Solution

The third proportional to 43,892 and 63,846 is: 92,871.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,892 : 63,846 = 63,846 : x
  2. Step 2: Convert to fraction form
    43,892/63,846 = 63,846/x
  3. Step 3: Cross multiply
    43,892x = 63,846 × 63,846
  4. Step 4: Simplify right side
    43,892x = 4,076,311,716
  5. Step 5: Solve for x
    x = 4,076,311,716/43,892
  6. Step 6: Final answer
    x = 92,871.41

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.