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Finding the Third Proportional to 7,696 and 17,838

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Solution

The third proportional to 7,696 and 17,838 is: 41,345.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696 : 17,838 = 17,838 : x
  2. Step 2: Convert to fraction form
    7,696/17,838 = 17,838/x
  3. Step 3: Cross multiply
    7,696x = 17,838 × 17,838
  4. Step 4: Simplify right side
    7,696x = 318,194,244
  5. Step 5: Solve for x
    x = 318,194,244/7,696
  6. Step 6: Final answer
    x = 41,345.41

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.