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Finding the Third Proportional to 4,782 and 6,825

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Solution

The third proportional to 4,782 and 6,825 is: 9,740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782 : 6,825 = 6,825 : x
  2. Step 2: Convert to fraction form
    4,782/6,825 = 6,825/x
  3. Step 3: Cross multiply
    4,782x = 6,825 × 6,825
  4. Step 4: Simplify right side
    4,782x = 46,580,625
  5. Step 5: Solve for x
    x = 46,580,625/4,782
  6. Step 6: Final answer
    x = 9,740.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.