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Finding the Third Proportional to 872.44 and 1,841.91

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Solution

The third proportional to 872.44 and 1,841.91 is: 3,888.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.44 : 1,841.91 = 1,841.91 : x
  2. Step 2: Convert to fraction form
    872.44/1,841.91 = 1,841.91/x
  3. Step 3: Cross multiply
    872.44x = 1,841.91 × 1,841.91
  4. Step 4: Simplify right side
    872.44x = 3,392,618.63
  5. Step 5: Solve for x
    x = 3,392,618.63/872.44
  6. Step 6: Final answer
    x = 3,888.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.