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Finding the Third Proportional to 13,664 and 19,331

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Solution

The third proportional to 13,664 and 19,331 is: 27,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664 : 19,331 = 19,331 : x
  2. Step 2: Convert to fraction form
    13,664/19,331 = 19,331/x
  3. Step 3: Cross multiply
    13,664x = 19,331 × 19,331
  4. Step 4: Simplify right side
    13,664x = 373,687,561
  5. Step 5: Solve for x
    x = 373,687,561/13,664
  6. Step 6: Final answer
    x = 27,348.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.