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Finding the Third Proportional to 27,919.69 and 59,734.97

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Solution

The third proportional to 27,919.69 and 59,734.97 is: 127,804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,919.69 : 59,734.97 = 59,734.97 : x
  2. Step 2: Convert to fraction form
    27,919.69/59,734.97 = 59,734.97/x
  3. Step 3: Cross multiply
    27,919.69x = 59,734.97 × 59,734.97
  4. Step 4: Simplify right side
    27,919.69x = 3,568,266,491.56
  5. Step 5: Solve for x
    x = 3,568,266,491.56/27,919.69
  6. Step 6: Final answer
    x = 127,804.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.