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Finding the Third Proportional to 672.75 and 945

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Solution

The third proportional to 672.75 and 945 is: 1,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.75 : 945 = 945 : x
  2. Step 2: Convert to fraction form
    672.75/945 = 945/x
  3. Step 3: Cross multiply
    672.75x = 945 × 945
  4. Step 4: Simplify right side
    672.75x = 893,025
  5. Step 5: Solve for x
    x = 893,025/672.75
  6. Step 6: Final answer
    x = 1,327.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.