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Finding the Third Proportional to 30,481.31 and 44,901.84

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Solution

The third proportional to 30,481.31 and 44,901.84 is: 66,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,481.31 : 44,901.84 = 44,901.84 : x
  2. Step 2: Convert to fraction form
    30,481.31/44,901.84 = 44,901.84/x
  3. Step 3: Cross multiply
    30,481.31x = 44,901.84 × 44,901.84
  4. Step 4: Simplify right side
    30,481.31x = 2,016,175,572.15
  5. Step 5: Solve for x
    x = 2,016,175,572.15/30,481.31
  6. Step 6: Final answer
    x = 66,144.64

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.