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Finding the Third Proportional to 31,885.59 and 69,512.34

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Solution

The third proportional to 31,885.59 and 69,512.34 is: 151,540.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,885.59 : 69,512.34 = 69,512.34 : x
  2. Step 2: Convert to fraction form
    31,885.59/69,512.34 = 69,512.34/x
  3. Step 3: Cross multiply
    31,885.59x = 69,512.34 × 69,512.34
  4. Step 4: Simplify right side
    31,885.59x = 4,831,965,933.62
  5. Step 5: Solve for x
    x = 4,831,965,933.62/31,885.59
  6. Step 6: Final answer
    x = 151,540.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.