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Finding the Third Proportional to 851.44 and 1,860.94

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Solution

The third proportional to 851.44 and 1,860.94 is: 4,067.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.44 : 1,860.94 = 1,860.94 : x
  2. Step 2: Convert to fraction form
    851.44/1,860.94 = 1,860.94/x
  3. Step 3: Cross multiply
    851.44x = 1,860.94 × 1,860.94
  4. Step 4: Simplify right side
    851.44x = 3,463,088.38
  5. Step 5: Solve for x
    x = 3,463,088.38/851.44
  6. Step 6: Final answer
    x = 4,067.34

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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.