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Finding the Third Proportional to 5,175.62 and 11,333.67

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Solution

The third proportional to 5,175.62 and 11,333.67 is: 24,818.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.62 : 11,333.67 = 11,333.67 : x
  2. Step 2: Convert to fraction form
    5,175.62/11,333.67 = 11,333.67/x
  3. Step 3: Cross multiply
    5,175.62x = 11,333.67 × 11,333.67
  4. Step 4: Simplify right side
    5,175.62x = 128,452,118.17
  5. Step 5: Solve for x
    x = 128,452,118.17/5,175.62
  6. Step 6: Final answer
    x = 24,818.71

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Why These Related Problems?

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