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Finding the Third Proportional to 27,241 and 36,970

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Solution

The third proportional to 27,241 and 36,970 is: 50,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,241 : 36,970 = 36,970 : x
  2. Step 2: Convert to fraction form
    27,241/36,970 = 36,970/x
  3. Step 3: Cross multiply
    27,241x = 36,970 × 36,970
  4. Step 4: Simplify right side
    27,241x = 1,366,780,900
  5. Step 5: Solve for x
    x = 1,366,780,900/27,241
  6. Step 6: Final answer
    x = 50,173.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.