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Finding the Third Proportional to 13,696 and 19,376

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Solution

The third proportional to 13,696 and 19,376 is: 27,411.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696 : 19,376 = 19,376 : x
  2. Step 2: Convert to fraction form
    13,696/19,376 = 19,376/x
  3. Step 3: Cross multiply
    13,696x = 19,376 × 19,376
  4. Step 4: Simplify right side
    13,696x = 375,429,376
  5. Step 5: Solve for x
    x = 375,429,376/13,696
  6. Step 6: Final answer
    x = 27,411.61

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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.