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Finding the Third Proportional to 1,479.27 and 3,181.99

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Solution

The third proportional to 1,479.27 and 3,181.99 is: 6,844.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.27 : 3,181.99 = 3,181.99 : x
  2. Step 2: Convert to fraction form
    1,479.27/3,181.99 = 3,181.99/x
  3. Step 3: Cross multiply
    1,479.27x = 3,181.99 × 3,181.99
  4. Step 4: Simplify right side
    1,479.27x = 10,125,053.31
  5. Step 5: Solve for x
    x = 10,125,053.31/1,479.27
  6. Step 6: Final answer
    x = 6,844.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.