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Finding the Third Proportional to 12,264 and 16,340

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Solution

The third proportional to 12,264 and 16,340 is: 21,770.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264 : 16,340 = 16,340 : x
  2. Step 2: Convert to fraction form
    12,264/16,340 = 16,340/x
  3. Step 3: Cross multiply
    12,264x = 16,340 × 16,340
  4. Step 4: Simplify right side
    12,264x = 266,995,600
  5. Step 5: Solve for x
    x = 266,995,600/12,264
  6. Step 6: Final answer
    x = 21,770.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.