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Finding the Third Proportional to 4,121.44 and 8,733.38

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Solution

The third proportional to 4,121.44 and 8,733.38 is: 18,506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.44 : 8,733.38 = 8,733.38 : x
  2. Step 2: Convert to fraction form
    4,121.44/8,733.38 = 8,733.38/x
  3. Step 3: Cross multiply
    4,121.44x = 8,733.38 × 8,733.38
  4. Step 4: Simplify right side
    4,121.44x = 76,271,838.89
  5. Step 5: Solve for x
    x = 76,271,838.89/4,121.44
  6. Step 6: Final answer
    x = 18,506.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.