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Finding the Third Proportional to 5,191 and 10,765

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Solution

The third proportional to 5,191 and 10,765 is: 22,324.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191 : 10,765 = 10,765 : x
  2. Step 2: Convert to fraction form
    5,191/10,765 = 10,765/x
  3. Step 3: Cross multiply
    5,191x = 10,765 × 10,765
  4. Step 4: Simplify right side
    5,191x = 115,885,225
  5. Step 5: Solve for x
    x = 115,885,225/5,191
  6. Step 6: Final answer
    x = 22,324.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.