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Finding the Third Proportional to 479.36 and 1,007.12

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Solution

The third proportional to 479.36 and 1,007.12 is: 2,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.36 : 1,007.12 = 1,007.12 : x
  2. Step 2: Convert to fraction form
    479.36/1,007.12 = 1,007.12/x
  3. Step 3: Cross multiply
    479.36x = 1,007.12 × 1,007.12
  4. Step 4: Simplify right side
    479.36x = 1,014,292.90
  5. Step 5: Solve for x
    x = 1,014,292.90/479.36
  6. Step 6: Final answer
    x = 2,115.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.