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Finding the Third Proportional to 5,072 and 10,954

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Solution

The third proportional to 5,072 and 10,954 is: 23,657.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072 : 10,954 = 10,954 : x
  2. Step 2: Convert to fraction form
    5,072/10,954 = 10,954/x
  3. Step 3: Cross multiply
    5,072x = 10,954 × 10,954
  4. Step 4: Simplify right side
    5,072x = 119,990,116
  5. Step 5: Solve for x
    x = 119,990,116/5,072
  6. Step 6: Final answer
    x = 23,657.36

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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.