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Finding the Third Proportional to 2,279.81 and 3,513.94

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Solution

The third proportional to 2,279.81 and 3,513.94 is: 5,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.81 : 3,513.94 = 3,513.94 : x
  2. Step 2: Convert to fraction form
    2,279.81/3,513.94 = 3,513.94/x
  3. Step 3: Cross multiply
    2,279.81x = 3,513.94 × 3,513.94
  4. Step 4: Simplify right side
    2,279.81x = 12,347,756.75
  5. Step 5: Solve for x
    x = 12,347,756.75/2,279.81
  6. Step 6: Final answer
    x = 5,416.13

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.