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Finding the Third Proportional to 13,696 and 27,892

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Solution

The third proportional to 13,696 and 27,892 is: 56,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696 : 27,892 = 27,892 : x
  2. Step 2: Convert to fraction form
    13,696/27,892 = 27,892/x
  3. Step 3: Cross multiply
    13,696x = 27,892 × 27,892
  4. Step 4: Simplify right side
    13,696x = 777,963,664
  5. Step 5: Solve for x
    x = 777,963,664/13,696
  6. Step 6: Final answer
    x = 56,802.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.