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Finding the Third Proportional to 31,928 and 69,896

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Solution

The third proportional to 31,928 and 69,896 is: 153,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,928 : 69,896 = 69,896 : x
  2. Step 2: Convert to fraction form
    31,928/69,896 = 69,896/x
  3. Step 3: Cross multiply
    31,928x = 69,896 × 69,896
  4. Step 4: Simplify right side
    31,928x = 4,885,450,816
  5. Step 5: Solve for x
    x = 4,885,450,816/31,928
  6. Step 6: Final answer
    x = 153,014.62

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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.