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Finding the Third Proportional to 1,513.27 and 3,304.97

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Solution

The third proportional to 1,513.27 and 3,304.97 is: 7,218.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.27 : 3,304.97 = 3,304.97 : x
  2. Step 2: Convert to fraction form
    1,513.27/3,304.97 = 3,304.97/x
  3. Step 3: Cross multiply
    1,513.27x = 3,304.97 × 3,304.97
  4. Step 4: Simplify right side
    1,513.27x = 10,922,818.44
  5. Step 5: Solve for x
    x = 10,922,818.44/1,513.27
  6. Step 6: Final answer
    x = 7,218.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.