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Finding the Third Proportional to 950.63 and 2,208.38

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Solution

The third proportional to 950.63 and 2,208.38 is: 5,130.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.63 : 2,208.38 = 2,208.38 : x
  2. Step 2: Convert to fraction form
    950.63/2,208.38 = 2,208.38/x
  3. Step 3: Cross multiply
    950.63x = 2,208.38 × 2,208.38
  4. Step 4: Simplify right side
    950.63x = 4,876,920.14
  5. Step 5: Solve for x
    x = 4,876,920.14/950.63
  6. Step 6: Final answer
    x = 5,130.23

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.