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Finding the Third Proportional to 929.72 and 1,936.44

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Solution

The third proportional to 929.72 and 1,936.44 is: 4,033.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.72 : 1,936.44 = 1,936.44 : x
  2. Step 2: Convert to fraction form
    929.72/1,936.44 = 1,936.44/x
  3. Step 3: Cross multiply
    929.72x = 1,936.44 × 1,936.44
  4. Step 4: Simplify right side
    929.72x = 3,749,790.19
  5. Step 5: Solve for x
    x = 3,749,790.19/929.72
  6. Step 6: Final answer
    x = 4,033.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.