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Finding the Third Proportional to 43,922 and 67,935

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Solution

The third proportional to 43,922 and 67,935 is: 105,076.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,922 : 67,935 = 67,935 : x
  2. Step 2: Convert to fraction form
    43,922/67,935 = 67,935/x
  3. Step 3: Cross multiply
    43,922x = 67,935 × 67,935
  4. Step 4: Simplify right side
    43,922x = 4,615,164,225
  5. Step 5: Solve for x
    x = 4,615,164,225/43,922
  6. Step 6: Final answer
    x = 105,076.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.