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Finding the Third Proportional to 48,853.13 and 73,806.19

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Solution

The third proportional to 48,853.13 and 73,806.19 is: 111,504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,853.13 : 73,806.19 = 73,806.19 : x
  2. Step 2: Convert to fraction form
    48,853.13/73,806.19 = 73,806.19/x
  3. Step 3: Cross multiply
    48,853.13x = 73,806.19 × 73,806.19
  4. Step 4: Simplify right side
    48,853.13x = 5,447,353,313.29
  5. Step 5: Solve for x
    x = 5,447,353,313.29/48,853.13
  6. Step 6: Final answer
    x = 111,504.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.