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Finding the Third Proportional to 34,263.84 and 54,676.27

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Solution

The third proportional to 34,263.84 and 54,676.27 is: 87,249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,263.84 : 54,676.27 = 54,676.27 : x
  2. Step 2: Convert to fraction form
    34,263.84/54,676.27 = 54,676.27/x
  3. Step 3: Cross multiply
    34,263.84x = 54,676.27 × 54,676.27
  4. Step 4: Simplify right side
    34,263.84x = 2,989,494,022.70
  5. Step 5: Solve for x
    x = 2,989,494,022.70/34,263.84
  6. Step 6: Final answer
    x = 87,249.23

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.