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Finding the Third Proportional to 5,185 and 11,110

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Solution

The third proportional to 5,185 and 11,110 is: 23,805.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185 : 11,110 = 11,110 : x
  2. Step 2: Convert to fraction form
    5,185/11,110 = 11,110/x
  3. Step 3: Cross multiply
    5,185x = 11,110 × 11,110
  4. Step 4: Simplify right side
    5,185x = 123,432,100
  5. Step 5: Solve for x
    x = 123,432,100/5,185
  6. Step 6: Final answer
    x = 23,805.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.