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Finding the Third Proportional to 6,782.63 and 9,797.63

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Solution

The third proportional to 6,782.63 and 9,797.63 is: 14,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.63 : 9,797.63 = 9,797.63 : x
  2. Step 2: Convert to fraction form
    6,782.63/9,797.63 = 9,797.63/x
  3. Step 3: Cross multiply
    6,782.63x = 9,797.63 × 9,797.63
  4. Step 4: Simplify right side
    6,782.63x = 95,993,455.64
  5. Step 5: Solve for x
    x = 95,993,455.64/6,782.63
  6. Step 6: Final answer
    x = 14,152.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.