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Finding the Third Proportional to 4,107 and 6,373

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Solution

The third proportional to 4,107 and 6,373 is: 9,889.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107 : 6,373 = 6,373 : x
  2. Step 2: Convert to fraction form
    4,107/6,373 = 6,373/x
  3. Step 3: Cross multiply
    4,107x = 6,373 × 6,373
  4. Step 4: Simplify right side
    4,107x = 40,615,129
  5. Step 5: Solve for x
    x = 40,615,129/4,107
  6. Step 6: Final answer
    x = 9,889.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.