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Finding the Third Proportional to 1,327.72 and 2,907.46

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Solution

The third proportional to 1,327.72 and 2,907.46 is: 6,366.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.72 : 2,907.46 = 2,907.46 : x
  2. Step 2: Convert to fraction form
    1,327.72/2,907.46 = 2,907.46/x
  3. Step 3: Cross multiply
    1,327.72x = 2,907.46 × 2,907.46
  4. Step 4: Simplify right side
    1,327.72x = 8,453,306.39
  5. Step 5: Solve for x
    x = 8,453,306.39/1,327.72
  6. Step 6: Final answer
    x = 6,366.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.