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Finding the Third Proportional to 31,706.44 and 48,579.75

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Solution

The third proportional to 31,706.44 and 48,579.75 is: 74,432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.44 : 48,579.75 = 48,579.75 : x
  2. Step 2: Convert to fraction form
    31,706.44/48,579.75 = 48,579.75/x
  3. Step 3: Cross multiply
    31,706.44x = 48,579.75 × 48,579.75
  4. Step 4: Simplify right side
    31,706.44x = 2,359,992,110.06
  5. Step 5: Solve for x
    x = 2,359,992,110.06/31,706.44
  6. Step 6: Final answer
    x = 74,432.59

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.