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Finding the Third Proportional to 903.94 and 2,092.22

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Solution

The third proportional to 903.94 and 2,092.22 is: 4,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.94 : 2,092.22 = 2,092.22 : x
  2. Step 2: Convert to fraction form
    903.94/2,092.22 = 2,092.22/x
  3. Step 3: Cross multiply
    903.94x = 2,092.22 × 2,092.22
  4. Step 4: Simplify right side
    903.94x = 4,377,379.30
  5. Step 5: Solve for x
    x = 4,377,379.30/903.94
  6. Step 6: Final answer
    x = 4,842.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.