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Finding the Third Proportional to 47,137 and 65,935

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Solution

The third proportional to 47,137 and 65,935 is: 92,229.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,137 : 65,935 = 65,935 : x
  2. Step 2: Convert to fraction form
    47,137/65,935 = 65,935/x
  3. Step 3: Cross multiply
    47,137x = 65,935 × 65,935
  4. Step 4: Simplify right side
    47,137x = 4,347,424,225
  5. Step 5: Solve for x
    x = 4,347,424,225/47,137
  6. Step 6: Final answer
    x = 92,229.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.