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Finding the Third Proportional to 896.06 and 1,921.22

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Solution

The third proportional to 896.06 and 1,921.22 is: 4,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.06 : 1,921.22 = 1,921.22 : x
  2. Step 2: Convert to fraction form
    896.06/1,921.22 = 1,921.22/x
  3. Step 3: Cross multiply
    896.06x = 1,921.22 × 1,921.22
  4. Step 4: Simplify right side
    896.06x = 3,691,081.49
  5. Step 5: Solve for x
    x = 3,691,081.49/896.06
  6. Step 6: Final answer
    x = 4,119.22

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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.