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Finding the Third Proportional to 950.91 and 1,391.34

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Solution

The third proportional to 950.91 and 1,391.34 is: 2,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.91 : 1,391.34 = 1,391.34 : x
  2. Step 2: Convert to fraction form
    950.91/1,391.34 = 1,391.34/x
  3. Step 3: Cross multiply
    950.91x = 1,391.34 × 1,391.34
  4. Step 4: Simplify right side
    950.91x = 1,935,837.43
  5. Step 5: Solve for x
    x = 1,935,837.43/950.91
  6. Step 6: Final answer
    x = 2,035.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.