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Finding the Third Proportional to 8,769 and 18,995.25

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Solution

The third proportional to 8,769 and 18,995.25 is: 41,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769 : 18,995.25 = 18,995.25 : x
  2. Step 2: Convert to fraction form
    8,769/18,995.25 = 18,995.25/x
  3. Step 3: Cross multiply
    8,769x = 18,995.25 × 18,995.25
  4. Step 4: Simplify right side
    8,769x = 360,819,522.56
  5. Step 5: Solve for x
    x = 360,819,522.56/8,769
  6. Step 6: Final answer
    x = 41,147.17

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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.