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Finding the Third Proportional to 23,164.50 and 45,177

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Solution

The third proportional to 23,164.50 and 45,177 is: 88,107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164.50 : 45,177 = 45,177 : x
  2. Step 2: Convert to fraction form
    23,164.50/45,177 = 45,177/x
  3. Step 3: Cross multiply
    23,164.50x = 45,177 × 45,177
  4. Step 4: Simplify right side
    23,164.50x = 2,040,961,329
  5. Step 5: Solve for x
    x = 2,040,961,329/23,164.50
  6. Step 6: Final answer
    x = 88,107.29

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.