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Finding the Third Proportional to 31,563.56 and 69,065.44

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Solution

The third proportional to 31,563.56 and 69,065.44 is: 151,124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,563.56 : 69,065.44 = 69,065.44 : x
  2. Step 2: Convert to fraction form
    31,563.56/69,065.44 = 69,065.44/x
  3. Step 3: Cross multiply
    31,563.56x = 69,065.44 × 69,065.44
  4. Step 4: Simplify right side
    31,563.56x = 4,770,034,657.07
  5. Step 5: Solve for x
    x = 4,770,034,657.07/31,563.56
  6. Step 6: Final answer
    x = 151,124.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.