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Finding the Third Proportional to 4,197 and 9,696

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Solution

The third proportional to 4,197 and 9,696 is: 22,399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197 : 9,696 = 9,696 : x
  2. Step 2: Convert to fraction form
    4,197/9,696 = 9,696/x
  3. Step 3: Cross multiply
    4,197x = 9,696 × 9,696
  4. Step 4: Simplify right side
    4,197x = 94,012,416
  5. Step 5: Solve for x
    x = 94,012,416/4,197
  6. Step 6: Final answer
    x = 22,399.91

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.