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Finding the Third Proportional to 29,755.50 and 39,489.75

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Solution

The third proportional to 29,755.50 and 39,489.75 is: 52,408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,755.50 : 39,489.75 = 39,489.75 : x
  2. Step 2: Convert to fraction form
    29,755.50/39,489.75 = 39,489.75/x
  3. Step 3: Cross multiply
    29,755.50x = 39,489.75 × 39,489.75
  4. Step 4: Simplify right side
    29,755.50x = 1,559,440,355.06
  5. Step 5: Solve for x
    x = 1,559,440,355.06/29,755.50
  6. Step 6: Final answer
    x = 52,408.47

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.