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Finding the Third Proportional to 866.44 and 1,894.88

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Solution

The third proportional to 866.44 and 1,894.88 is: 4,144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.44 : 1,894.88 = 1,894.88 : x
  2. Step 2: Convert to fraction form
    866.44/1,894.88 = 1,894.88/x
  3. Step 3: Cross multiply
    866.44x = 1,894.88 × 1,894.88
  4. Step 4: Simplify right side
    866.44x = 3,590,551.27
  5. Step 5: Solve for x
    x = 3,590,551.27/866.44
  6. Step 6: Final answer
    x = 4,144.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.