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Finding the Third Proportional to 896.63 and 1,934.88

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Solution

The third proportional to 896.63 and 1,934.88 is: 4,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.63 : 1,934.88 = 1,934.88 : x
  2. Step 2: Convert to fraction form
    896.63/1,934.88 = 1,934.88/x
  3. Step 3: Cross multiply
    896.63x = 1,934.88 × 1,934.88
  4. Step 4: Simplify right side
    896.63x = 3,743,741.27
  5. Step 5: Solve for x
    x = 3,743,741.27/896.63
  6. Step 6: Final answer
    x = 4,175.37

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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.