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Finding the Third Proportional to 9,274 and 14,367

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Solution

The third proportional to 9,274 and 14,367 is: 22,256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274 : 14,367 = 14,367 : x
  2. Step 2: Convert to fraction form
    9,274/14,367 = 14,367/x
  3. Step 3: Cross multiply
    9,274x = 14,367 × 14,367
  4. Step 4: Simplify right side
    9,274x = 206,410,689
  5. Step 5: Solve for x
    x = 206,410,689/9,274
  6. Step 6: Final answer
    x = 22,256.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.