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Finding the Third Proportional to 6,825 and 8,040

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Solution

The third proportional to 6,825 and 8,040 is: 9,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825 : 8,040 = 8,040 : x
  2. Step 2: Convert to fraction form
    6,825/8,040 = 8,040/x
  3. Step 3: Cross multiply
    6,825x = 8,040 × 8,040
  4. Step 4: Simplify right side
    6,825x = 64,641,600
  5. Step 5: Solve for x
    x = 64,641,600/6,825
  6. Step 6: Final answer
    x = 9,471.30

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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.