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Finding the Third Proportional to 49,344.19 and 65,815.03

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Solution

The third proportional to 49,344.19 and 65,815.03 is: 87,783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,344.19 : 65,815.03 = 65,815.03 : x
  2. Step 2: Convert to fraction form
    49,344.19/65,815.03 = 65,815.03/x
  3. Step 3: Cross multiply
    49,344.19x = 65,815.03 × 65,815.03
  4. Step 4: Simplify right side
    49,344.19x = 4,331,618,338.44
  5. Step 5: Solve for x
    x = 4,331,618,338.44/49,344.19
  6. Step 6: Final answer
    x = 87,783.76

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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.