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Finding the Third Proportional to 942.19 and 1,992.94

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Solution

The third proportional to 942.19 and 1,992.94 is: 4,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.19 : 1,992.94 = 1,992.94 : x
  2. Step 2: Convert to fraction form
    942.19/1,992.94 = 1,992.94/x
  3. Step 3: Cross multiply
    942.19x = 1,992.94 × 1,992.94
  4. Step 4: Simplify right side
    942.19x = 3,971,799.88
  5. Step 5: Solve for x
    x = 3,971,799.88/942.19
  6. Step 6: Final answer
    x = 4,215.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.