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Finding the Third Proportional to 2,733.33 and 5,855.48

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Solution

The third proportional to 2,733.33 and 5,855.48 is: 12,543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.33 : 5,855.48 = 5,855.48 : x
  2. Step 2: Convert to fraction form
    2,733.33/5,855.48 = 5,855.48/x
  3. Step 3: Cross multiply
    2,733.33x = 5,855.48 × 5,855.48
  4. Step 4: Simplify right side
    2,733.33x = 34,286,697.27
  5. Step 5: Solve for x
    x = 34,286,697.27/2,733.33
  6. Step 6: Final answer
    x = 12,543.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.