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Finding the Third Proportional to 48,380.63 and 73,298.25

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Solution

The third proportional to 48,380.63 and 73,298.25 is: 111,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,380.63 : 73,298.25 = 73,298.25 : x
  2. Step 2: Convert to fraction form
    48,380.63/73,298.25 = 73,298.25/x
  3. Step 3: Cross multiply
    48,380.63x = 73,298.25 × 73,298.25
  4. Step 4: Simplify right side
    48,380.63x = 5,372,633,453.06
  5. Step 5: Solve for x
    x = 5,372,633,453.06/48,380.63
  6. Step 6: Final answer
    x = 111,049.28

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.