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Finding the Third Proportional to 11,696 and 25,654

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Solution

The third proportional to 11,696 and 25,654 is: 56,269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696 : 25,654 = 25,654 : x
  2. Step 2: Convert to fraction form
    11,696/25,654 = 25,654/x
  3. Step 3: Cross multiply
    11,696x = 25,654 × 25,654
  4. Step 4: Simplify right side
    11,696x = 658,127,716
  5. Step 5: Solve for x
    x = 658,127,716/11,696
  6. Step 6: Final answer
    x = 56,269.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.