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Finding the Third Proportional to 4,181 and 6,357

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Solution

The third proportional to 4,181 and 6,357 is: 9,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181 : 6,357 = 6,357 : x
  2. Step 2: Convert to fraction form
    4,181/6,357 = 6,357/x
  3. Step 3: Cross multiply
    4,181x = 6,357 × 6,357
  4. Step 4: Simplify right side
    4,181x = 40,411,449
  5. Step 5: Solve for x
    x = 40,411,449/4,181
  6. Step 6: Final answer
    x = 9,665.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.