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Finding the Third Proportional to 5,177 and 10,912

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Solution

The third proportional to 5,177 and 10,912 is: 23,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177 : 10,912 = 10,912 : x
  2. Step 2: Convert to fraction form
    5,177/10,912 = 10,912/x
  3. Step 3: Cross multiply
    5,177x = 10,912 × 10,912
  4. Step 4: Simplify right side
    5,177x = 119,071,744
  5. Step 5: Solve for x
    x = 119,071,744/5,177
  6. Step 6: Final answer
    x = 23,000.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.