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Finding the Third Proportional to 7,177 and 11,190.50

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Solution

The third proportional to 7,177 and 11,190.50 is: 17,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177 : 11,190.50 = 11,190.50 : x
  2. Step 2: Convert to fraction form
    7,177/11,190.50 = 11,190.50/x
  3. Step 3: Cross multiply
    7,177x = 11,190.50 × 11,190.50
  4. Step 4: Simplify right side
    7,177x = 125,227,290.25
  5. Step 5: Solve for x
    x = 125,227,290.25/7,177
  6. Step 6: Final answer
    x = 17,448.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.