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Finding the Third Proportional to 47,478 and 67,848

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Solution

The third proportional to 47,478 and 67,848 is: 96,957.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,478 : 67,848 = 67,848 : x
  2. Step 2: Convert to fraction form
    47,478/67,848 = 67,848/x
  3. Step 3: Cross multiply
    47,478x = 67,848 × 67,848
  4. Step 4: Simplify right side
    47,478x = 4,603,351,104
  5. Step 5: Solve for x
    x = 4,603,351,104/47,478
  6. Step 6: Final answer
    x = 96,957.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.