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Finding the Third Proportional to 3,175.13 and 6,304.13

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Solution

The third proportional to 3,175.13 and 6,304.13 is: 12,516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.13 : 6,304.13 = 6,304.13 : x
  2. Step 2: Convert to fraction form
    3,175.13/6,304.13 = 6,304.13/x
  3. Step 3: Cross multiply
    3,175.13x = 6,304.13 × 6,304.13
  4. Step 4: Simplify right side
    3,175.13x = 39,741,992.02
  5. Step 5: Solve for x
    x = 39,741,992.02/3,175.13
  6. Step 6: Final answer
    x = 12,516.67

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.