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Finding the Third Proportional to 27,102.50 and 43,163.25

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Solution

The third proportional to 27,102.50 and 43,163.25 is: 68,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102.50 : 43,163.25 = 43,163.25 : x
  2. Step 2: Convert to fraction form
    27,102.50/43,163.25 = 43,163.25/x
  3. Step 3: Cross multiply
    27,102.50x = 43,163.25 × 43,163.25
  4. Step 4: Simplify right side
    27,102.50x = 1,863,066,150.56
  5. Step 5: Solve for x
    x = 1,863,066,150.56/27,102.50
  6. Step 6: Final answer
    x = 68,741.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.