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Finding the Third Proportional to 6,357 and 12,921

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Solution

The third proportional to 6,357 and 12,921 is: 26,262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357 : 12,921 = 12,921 : x
  2. Step 2: Convert to fraction form
    6,357/12,921 = 12,921/x
  3. Step 3: Cross multiply
    6,357x = 12,921 × 12,921
  4. Step 4: Simplify right side
    6,357x = 166,952,241
  5. Step 5: Solve for x
    x = 166,952,241/6,357
  6. Step 6: Final answer
    x = 26,262.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.