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Finding the Third Proportional to 11,696 and 25,288

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Solution

The third proportional to 11,696 and 25,288 is: 54,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696 : 25,288 = 25,288 : x
  2. Step 2: Convert to fraction form
    11,696/25,288 = 25,288/x
  3. Step 3: Cross multiply
    11,696x = 25,288 × 25,288
  4. Step 4: Simplify right side
    11,696x = 639,482,944
  5. Step 5: Solve for x
    x = 639,482,944/11,696
  6. Step 6: Final answer
    x = 54,675.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.