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Finding the Third Proportional to 14,002 and 19,628

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Solution

The third proportional to 14,002 and 19,628 is: 27,514.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002 : 19,628 = 19,628 : x
  2. Step 2: Convert to fraction form
    14,002/19,628 = 19,628/x
  3. Step 3: Cross multiply
    14,002x = 19,628 × 19,628
  4. Step 4: Simplify right side
    14,002x = 385,258,384
  5. Step 5: Solve for x
    x = 385,258,384/14,002
  6. Step 6: Final answer
    x = 27,514.53

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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.