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Finding the Third Proportional to 1,279.55 and 1,662.40

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Solution

The third proportional to 1,279.55 and 1,662.40 is: 2,159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.55 : 1,662.40 = 1,662.40 : x
  2. Step 2: Convert to fraction form
    1,279.55/1,662.40 = 1,662.40/x
  3. Step 3: Cross multiply
    1,279.55x = 1,662.40 × 1,662.40
  4. Step 4: Simplify right side
    1,279.55x = 2,763,568.57
  5. Step 5: Solve for x
    x = 2,763,568.57/1,279.55
  6. Step 6: Final answer
    x = 2,159.80

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.