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Finding the Third Proportional to 5,191 and 11,261

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Solution

The third proportional to 5,191 and 11,261 is: 24,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191 : 11,261 = 11,261 : x
  2. Step 2: Convert to fraction form
    5,191/11,261 = 11,261/x
  3. Step 3: Cross multiply
    5,191x = 11,261 × 11,261
  4. Step 4: Simplify right side
    5,191x = 126,810,121
  5. Step 5: Solve for x
    x = 126,810,121/5,191
  6. Step 6: Final answer
    x = 24,428.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.