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Finding the Third Proportional to 3,286.91 and 4,815.03

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Solution

The third proportional to 3,286.91 and 4,815.03 is: 7,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.91 : 4,815.03 = 4,815.03 : x
  2. Step 2: Convert to fraction form
    3,286.91/4,815.03 = 4,815.03/x
  3. Step 3: Cross multiply
    3,286.91x = 4,815.03 × 4,815.03
  4. Step 4: Simplify right side
    3,286.91x = 23,184,521.24
  5. Step 5: Solve for x
    x = 23,184,521.24/3,286.91
  6. Step 6: Final answer
    x = 7,053.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.