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Finding the Third Proportional to 30,042.56 and 69,546.56

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Solution

The third proportional to 30,042.56 and 69,546.56 is: 160,995.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,042.56 : 69,546.56 = 69,546.56 : x
  2. Step 2: Convert to fraction form
    30,042.56/69,546.56 = 69,546.56/x
  3. Step 3: Cross multiply
    30,042.56x = 69,546.56 × 69,546.56
  4. Step 4: Simplify right side
    30,042.56x = 4,836,724,355.57
  5. Step 5: Solve for x
    x = 4,836,724,355.57/30,042.56
  6. Step 6: Final answer
    x = 160,995.73

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.