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Finding the Third Proportional to 47,880 and 100,935

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Solution

The third proportional to 47,880 and 100,935 is: 212,779.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,880 : 100,935 = 100,935 : x
  2. Step 2: Convert to fraction form
    47,880/100,935 = 100,935/x
  3. Step 3: Cross multiply
    47,880x = 100,935 × 100,935
  4. Step 4: Simplify right side
    47,880x = 10,187,874,225
  5. Step 5: Solve for x
    x = 10,187,874,225/47,880
  6. Step 6: Final answer
    x = 212,779.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.