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Finding the Third Proportional to 3,162.80 and 3,804.47

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Solution

The third proportional to 3,162.80 and 3,804.47 is: 4,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.80 : 3,804.47 = 3,804.47 : x
  2. Step 2: Convert to fraction form
    3,162.80/3,804.47 = 3,804.47/x
  3. Step 3: Cross multiply
    3,162.80x = 3,804.47 × 3,804.47
  4. Step 4: Simplify right side
    3,162.80x = 14,473,982.47
  5. Step 5: Solve for x
    x = 14,473,982.47/3,162.80
  6. Step 6: Final answer
    x = 4,576.32

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.