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Finding the Third Proportional to 3,851.72 and 5,504.20

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Solution

The third proportional to 3,851.72 and 5,504.20 is: 7,865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.72 : 5,504.20 = 5,504.20 : x
  2. Step 2: Convert to fraction form
    3,851.72/5,504.20 = 5,504.20/x
  3. Step 3: Cross multiply
    3,851.72x = 5,504.20 × 5,504.20
  4. Step 4: Simplify right side
    3,851.72x = 30,296,252.04
  5. Step 5: Solve for x
    x = 30,296,252.04/3,851.72
  6. Step 6: Final answer
    x = 7,865.64

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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.