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Finding the Third Proportional to 950.63 and 1,433.25

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Solution

The third proportional to 950.63 and 1,433.25 is: 2,160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.63 : 1,433.25 = 1,433.25 : x
  2. Step 2: Convert to fraction form
    950.63/1,433.25 = 1,433.25/x
  3. Step 3: Cross multiply
    950.63x = 1,433.25 × 1,433.25
  4. Step 4: Simplify right side
    950.63x = 2,054,205.56
  5. Step 5: Solve for x
    x = 2,054,205.56/950.63
  6. Step 6: Final answer
    x = 2,160.90

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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.