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Finding the Third Proportional to 936.88 and 1,900.34

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Solution

The third proportional to 936.88 and 1,900.34 is: 3,854.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.88 : 1,900.34 = 1,900.34 : x
  2. Step 2: Convert to fraction form
    936.88/1,900.34 = 1,900.34/x
  3. Step 3: Cross multiply
    936.88x = 1,900.34 × 1,900.34
  4. Step 4: Simplify right side
    936.88x = 3,611,276.68
  5. Step 5: Solve for x
    x = 3,611,276.68/936.88
  6. Step 6: Final answer
    x = 3,854.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.