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Finding the Third Proportional to 13,930 and 19,524

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Solution

The third proportional to 13,930 and 19,524 is: 27,364.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930 : 19,524 = 19,524 : x
  2. Step 2: Convert to fraction form
    13,930/19,524 = 19,524/x
  3. Step 3: Cross multiply
    13,930x = 19,524 × 19,524
  4. Step 4: Simplify right side
    13,930x = 381,186,576
  5. Step 5: Solve for x
    x = 381,186,576/13,930
  6. Step 6: Final answer
    x = 27,364.43

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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.