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Finding the Third Proportional to 896.44 and 1,937.06

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Solution

The third proportional to 896.44 and 1,937.06 is: 4,185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.44 : 1,937.06 = 1,937.06 : x
  2. Step 2: Convert to fraction form
    896.44/1,937.06 = 1,937.06/x
  3. Step 3: Cross multiply
    896.44x = 1,937.06 × 1,937.06
  4. Step 4: Simplify right side
    896.44x = 3,752,211.13
  5. Step 5: Solve for x
    x = 3,752,211.13/896.44
  6. Step 6: Final answer
    x = 4,185.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.