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Finding the Third Proportional to 13,376 and 27,696

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Solution

The third proportional to 13,376 and 27,696 is: 57,346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,376 : 27,696 = 27,696 : x
  2. Step 2: Convert to fraction form
    13,376/27,696 = 27,696/x
  3. Step 3: Cross multiply
    13,376x = 27,696 × 27,696
  4. Step 4: Simplify right side
    13,376x = 767,068,416
  5. Step 5: Solve for x
    x = 767,068,416/13,376
  6. Step 6: Final answer
    x = 57,346.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.