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Finding the Third Proportional to 667.93 and 1,438.38

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Solution

The third proportional to 667.93 and 1,438.38 is: 3,097.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.93 : 1,438.38 = 1,438.38 : x
  2. Step 2: Convert to fraction form
    667.93/1,438.38 = 1,438.38/x
  3. Step 3: Cross multiply
    667.93x = 1,438.38 × 1,438.38
  4. Step 4: Simplify right side
    667.93x = 2,068,945.12
  5. Step 5: Solve for x
    x = 2,068,945.12/667.93
  6. Step 6: Final answer
    x = 3,097.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.