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Finding the Third Proportional to 19,640 and 41,696

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Solution

The third proportional to 19,640 and 41,696 is: 88,521.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,640 : 41,696 = 41,696 : x
  2. Step 2: Convert to fraction form
    19,640/41,696 = 41,696/x
  3. Step 3: Cross multiply
    19,640x = 41,696 × 41,696
  4. Step 4: Simplify right side
    19,640x = 1,738,556,416
  5. Step 5: Solve for x
    x = 1,738,556,416/19,640
  6. Step 6: Final answer
    x = 88,521.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.