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Finding the Third Proportional to 18,236 and 42,935

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Solution

The third proportional to 18,236 and 42,935 is: 101,086.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,236 : 42,935 = 42,935 : x
  2. Step 2: Convert to fraction form
    18,236/42,935 = 42,935/x
  3. Step 3: Cross multiply
    18,236x = 42,935 × 42,935
  4. Step 4: Simplify right side
    18,236x = 1,843,414,225
  5. Step 5: Solve for x
    x = 1,843,414,225/18,236
  6. Step 6: Final answer
    x = 101,086.54

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.