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Finding the Third Proportional to 4,191 and 9,110

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Solution

The third proportional to 4,191 and 9,110 is: 19,802.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191 : 9,110 = 9,110 : x
  2. Step 2: Convert to fraction form
    4,191/9,110 = 9,110/x
  3. Step 3: Cross multiply
    4,191x = 9,110 × 9,110
  4. Step 4: Simplify right side
    4,191x = 82,992,100
  5. Step 5: Solve for x
    x = 82,992,100/4,191
  6. Step 6: Final answer
    x = 19,802.46

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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.