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Finding the Third Proportional to 667.25 and 1,437.25

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Solution

The third proportional to 667.25 and 1,437.25 is: 3,095.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.25 : 1,437.25 = 1,437.25 : x
  2. Step 2: Convert to fraction form
    667.25/1,437.25 = 1,437.25/x
  3. Step 3: Cross multiply
    667.25x = 1,437.25 × 1,437.25
  4. Step 4: Simplify right side
    667.25x = 2,065,687.56
  5. Step 5: Solve for x
    x = 2,065,687.56/667.25
  6. Step 6: Final answer
    x = 3,095.82

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