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Finding the Third Proportional to 49,971 and 66,027

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Solution

The third proportional to 49,971 and 66,027 is: 87,241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,971 : 66,027 = 66,027 : x
  2. Step 2: Convert to fraction form
    49,971/66,027 = 66,027/x
  3. Step 3: Cross multiply
    49,971x = 66,027 × 66,027
  4. Step 4: Simplify right side
    49,971x = 4,359,564,729
  5. Step 5: Solve for x
    x = 4,359,564,729/49,971
  6. Step 6: Final answer
    x = 87,241.89

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.