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Finding the Third Proportional to 6,357 and 13,686

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Solution

The third proportional to 6,357 and 13,686 is: 29,464.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357 : 13,686 = 13,686 : x
  2. Step 2: Convert to fraction form
    6,357/13,686 = 13,686/x
  3. Step 3: Cross multiply
    6,357x = 13,686 × 13,686
  4. Step 4: Simplify right side
    6,357x = 187,306,596
  5. Step 5: Solve for x
    x = 187,306,596/6,357
  6. Step 6: Final answer
    x = 29,464.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.