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Finding the Third Proportional to 2,721.94 and 3,884.63

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Solution

The third proportional to 2,721.94 and 3,884.63 is: 5,543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721.94 : 3,884.63 = 3,884.63 : x
  2. Step 2: Convert to fraction form
    2,721.94/3,884.63 = 3,884.63/x
  3. Step 3: Cross multiply
    2,721.94x = 3,884.63 × 3,884.63
  4. Step 4: Simplify right side
    2,721.94x = 15,090,311.39
  5. Step 5: Solve for x
    x = 15,090,311.39/2,721.94
  6. Step 6: Final answer
    x = 5,543.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.