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Finding the Third Proportional to 14,006 and 19,581

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Solution

The third proportional to 14,006 and 19,581 is: 27,375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006 : 19,581 = 19,581 : x
  2. Step 2: Convert to fraction form
    14,006/19,581 = 19,581/x
  3. Step 3: Cross multiply
    14,006x = 19,581 × 19,581
  4. Step 4: Simplify right side
    14,006x = 383,415,561
  5. Step 5: Solve for x
    x = 383,415,561/14,006
  6. Step 6: Final answer
    x = 27,375.09

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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.