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Finding the Third Proportional to 30,217.50 and 44,399.25

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Solution

The third proportional to 30,217.50 and 44,399.25 is: 65,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,217.50 : 44,399.25 = 44,399.25 : x
  2. Step 2: Convert to fraction form
    30,217.50/44,399.25 = 44,399.25/x
  3. Step 3: Cross multiply
    30,217.50x = 44,399.25 × 44,399.25
  4. Step 4: Simplify right side
    30,217.50x = 1,971,293,400.56
  5. Step 5: Solve for x
    x = 1,971,293,400.56/30,217.50
  6. Step 6: Final answer
    x = 65,236.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.