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Finding the Third Proportional to 11,650 and 14,867

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Solution

The third proportional to 11,650 and 14,867 is: 18,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650 : 14,867 = 14,867 : x
  2. Step 2: Convert to fraction form
    11,650/14,867 = 14,867/x
  3. Step 3: Cross multiply
    11,650x = 14,867 × 14,867
  4. Step 4: Simplify right side
    11,650x = 221,027,689
  5. Step 5: Solve for x
    x = 221,027,689/11,650
  6. Step 6: Final answer
    x = 18,972.33

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.