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Finding the Third Proportional to 6,407 and 8,373

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Solution

The third proportional to 6,407 and 8,373 is: 10,942.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407 : 8,373 = 8,373 : x
  2. Step 2: Convert to fraction form
    6,407/8,373 = 8,373/x
  3. Step 3: Cross multiply
    6,407x = 8,373 × 8,373
  4. Step 4: Simplify right side
    6,407x = 70,107,129
  5. Step 5: Solve for x
    x = 70,107,129/6,407
  6. Step 6: Final answer
    x = 10,942.27

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.