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Finding the Third Proportional to 49,506.75 and 65,991.38

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Solution

The third proportional to 49,506.75 and 65,991.38 is: 87,965.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,506.75 : 65,991.38 = 65,991.38 : x
  2. Step 2: Convert to fraction form
    49,506.75/65,991.38 = 65,991.38/x
  3. Step 3: Cross multiply
    49,506.75x = 65,991.38 × 65,991.38
  4. Step 4: Simplify right side
    49,506.75x = 4,354,861,574.39
  5. Step 5: Solve for x
    x = 4,354,861,574.39/49,506.75
  6. Step 6: Final answer
    x = 87,965.01

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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.