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Finding the Third Proportional to 13,696 and 19,592

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Solution

The third proportional to 13,696 and 19,592 is: 28,026.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696 : 19,592 = 19,592 : x
  2. Step 2: Convert to fraction form
    13,696/19,592 = 19,592/x
  3. Step 3: Cross multiply
    13,696x = 19,592 × 19,592
  4. Step 4: Simplify right side
    13,696x = 383,846,464
  5. Step 5: Solve for x
    x = 383,846,464/13,696
  6. Step 6: Final answer
    x = 28,026.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.