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Finding the Third Proportional to 4,209 and 10,167

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Solution

The third proportional to 4,209 and 10,167 is: 24,558.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209 : 10,167 = 10,167 : x
  2. Step 2: Convert to fraction form
    4,209/10,167 = 10,167/x
  3. Step 3: Cross multiply
    4,209x = 10,167 × 10,167
  4. Step 4: Simplify right side
    4,209x = 103,367,889
  5. Step 5: Solve for x
    x = 103,367,889/4,209
  6. Step 6: Final answer
    x = 24,558.78

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.