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Finding the Third Proportional to 14,176 and 19,812

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Solution

The third proportional to 14,176 and 19,812 is: 27,688.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,176 : 19,812 = 19,812 : x
  2. Step 2: Convert to fraction form
    14,176/19,812 = 19,812/x
  3. Step 3: Cross multiply
    14,176x = 19,812 × 19,812
  4. Step 4: Simplify right side
    14,176x = 392,515,344
  5. Step 5: Solve for x
    x = 392,515,344/14,176
  6. Step 6: Final answer
    x = 27,688.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.