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Finding the Third Proportional to 5,012.44 and 10,696.22

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Solution

The third proportional to 5,012.44 and 10,696.22 is: 22,825.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012.44 : 10,696.22 = 10,696.22 : x
  2. Step 2: Convert to fraction form
    5,012.44/10,696.22 = 10,696.22/x
  3. Step 3: Cross multiply
    5,012.44x = 10,696.22 × 10,696.22
  4. Step 4: Simplify right side
    5,012.44x = 114,409,095.55
  5. Step 5: Solve for x
    x = 114,409,095.55/5,012.44
  6. Step 6: Final answer
    x = 22,825.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.