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Finding the Third Proportional to 48,046.50 and 71,676.75

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Solution

The third proportional to 48,046.50 and 71,676.75 is: 106,928.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,046.50 : 71,676.75 = 71,676.75 : x
  2. Step 2: Convert to fraction form
    48,046.50/71,676.75 = 71,676.75/x
  3. Step 3: Cross multiply
    48,046.50x = 71,676.75 × 71,676.75
  4. Step 4: Simplify right side
    48,046.50x = 5,137,556,490.56
  5. Step 5: Solve for x
    x = 5,137,556,490.56/48,046.50
  6. Step 6: Final answer
    x = 106,928.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.