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Finding the Third Proportional to 14,236 and 21,274

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Solution

The third proportional to 14,236 and 21,274 is: 31,791.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,236 : 21,274 = 21,274 : x
  2. Step 2: Convert to fraction form
    14,236/21,274 = 21,274/x
  3. Step 3: Cross multiply
    14,236x = 21,274 × 21,274
  4. Step 4: Simplify right side
    14,236x = 452,583,076
  5. Step 5: Solve for x
    x = 452,583,076/14,236
  6. Step 6: Final answer
    x = 31,791.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.