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Finding the Third Proportional to 27,632 and 37,519

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Solution

The third proportional to 27,632 and 37,519 is: 50,943.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,632 : 37,519 = 37,519 : x
  2. Step 2: Convert to fraction form
    27,632/37,519 = 37,519/x
  3. Step 3: Cross multiply
    27,632x = 37,519 × 37,519
  4. Step 4: Simplify right side
    27,632x = 1,407,675,361
  5. Step 5: Solve for x
    x = 1,407,675,361/27,632
  6. Step 6: Final answer
    x = 50,943.67

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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.