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Finding the Third Proportional to 31,878.56 and 69,816.94

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Solution

The third proportional to 31,878.56 and 69,816.94 is: 152,905.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,878.56 : 69,816.94 = 69,816.94 : x
  2. Step 2: Convert to fraction form
    31,878.56/69,816.94 = 69,816.94/x
  3. Step 3: Cross multiply
    31,878.56x = 69,816.94 × 69,816.94
  4. Step 4: Simplify right side
    31,878.56x = 4,874,404,761.88
  5. Step 5: Solve for x
    x = 4,874,404,761.88/31,878.56
  6. Step 6: Final answer
    x = 152,905.41

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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.