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Finding the Third Proportional to 6,384 and 6,852

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Solution

The third proportional to 6,384 and 6,852 is: 7,354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384 : 6,852 = 6,852 : x
  2. Step 2: Convert to fraction form
    6,384/6,852 = 6,852/x
  3. Step 3: Cross multiply
    6,384x = 6,852 × 6,852
  4. Step 4: Simplify right side
    6,384x = 46,949,904
  5. Step 5: Solve for x
    x = 46,949,904/6,384
  6. Step 6: Final answer
    x = 7,354.31

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.