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Finding the Third Proportional to 962.72 and 1,375.73

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Solution

The third proportional to 962.72 and 1,375.73 is: 1,965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.72 : 1,375.73 = 1,375.73 : x
  2. Step 2: Convert to fraction form
    962.72/1,375.73 = 1,375.73/x
  3. Step 3: Cross multiply
    962.72x = 1,375.73 × 1,375.73
  4. Step 4: Simplify right side
    962.72x = 1,892,645.07
  5. Step 5: Solve for x
    x = 1,892,645.07/962.72
  6. Step 6: Final answer
    x = 1,965.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.