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Finding the Third Proportional to 14,124 and 19,188

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Solution

The third proportional to 14,124 and 19,188 is: 26,067.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,124 : 19,188 = 19,188 : x
  2. Step 2: Convert to fraction form
    14,124/19,188 = 19,188/x
  3. Step 3: Cross multiply
    14,124x = 19,188 × 19,188
  4. Step 4: Simplify right side
    14,124x = 368,179,344
  5. Step 5: Solve for x
    x = 368,179,344/14,124
  6. Step 6: Final answer
    x = 26,067.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.