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Finding the Third Proportional to 950.06 and 1,438.03

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Solution

The third proportional to 950.06 and 1,438.03 is: 2,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.06 : 1,438.03 = 1,438.03 : x
  2. Step 2: Convert to fraction form
    950.06/1,438.03 = 1,438.03/x
  3. Step 3: Cross multiply
    950.06x = 1,438.03 × 1,438.03
  4. Step 4: Simplify right side
    950.06x = 2,067,933.88
  5. Step 5: Solve for x
    x = 2,067,933.88/950.06
  6. Step 6: Final answer
    x = 2,176.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.