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Finding the Third Proportional to 48,918.94 and 74,221.31

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Solution

The third proportional to 48,918.94 and 74,221.31 is: 112,610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,918.94 : 74,221.31 = 74,221.31 : x
  2. Step 2: Convert to fraction form
    48,918.94/74,221.31 = 74,221.31/x
  3. Step 3: Cross multiply
    48,918.94x = 74,221.31 × 74,221.31
  4. Step 4: Simplify right side
    48,918.94x = 5,508,803,229.22
  5. Step 5: Solve for x
    x = 5,508,803,229.22/48,918.94
  6. Step 6: Final answer
    x = 112,610.85

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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.