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Finding the Third Proportional to 2,384 and 2,816

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Solution

The third proportional to 2,384 and 2,816 is: 3,326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384 : 2,816 = 2,816 : x
  2. Step 2: Convert to fraction form
    2,384/2,816 = 2,816/x
  3. Step 3: Cross multiply
    2,384x = 2,816 × 2,816
  4. Step 4: Simplify right side
    2,384x = 7,929,856
  5. Step 5: Solve for x
    x = 7,929,856/2,384
  6. Step 6: Final answer
    x = 3,326.28

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.