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Finding the Third Proportional to 6,380 and 10,244

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Solution

The third proportional to 6,380 and 10,244 is: 16,448.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380 : 10,244 = 10,244 : x
  2. Step 2: Convert to fraction form
    6,380/10,244 = 10,244/x
  3. Step 3: Cross multiply
    6,380x = 10,244 × 10,244
  4. Step 4: Simplify right side
    6,380x = 104,939,536
  5. Step 5: Solve for x
    x = 104,939,536/6,380
  6. Step 6: Final answer
    x = 16,448.20

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.