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Finding the Third Proportional to 47,638 and 75,367

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Solution

The third proportional to 47,638 and 75,367 is: 119,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,638 : 75,367 = 75,367 : x
  2. Step 2: Convert to fraction form
    47,638/75,367 = 75,367/x
  3. Step 3: Cross multiply
    47,638x = 75,367 × 75,367
  4. Step 4: Simplify right side
    47,638x = 5,680,184,689
  5. Step 5: Solve for x
    x = 5,680,184,689/47,638
  6. Step 6: Final answer
    x = 119,236.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.