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Finding the Third Proportional to 789.75 and 929.39

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Solution

The third proportional to 789.75 and 929.39 is: 1,093.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.75 : 929.39 = 929.39 : x
  2. Step 2: Convert to fraction form
    789.75/929.39 = 929.39/x
  3. Step 3: Cross multiply
    789.75x = 929.39 × 929.39
  4. Step 4: Simplify right side
    789.75x = 863,766.93
  5. Step 5: Solve for x
    x = 863,766.93/789.75
  6. Step 6: Final answer
    x = 1,093.72

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.