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Finding the Third Proportional to 31,099.50 and 43,353

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Solution

The third proportional to 31,099.50 and 43,353 is: 60,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,099.50 : 43,353 = 43,353 : x
  2. Step 2: Convert to fraction form
    31,099.50/43,353 = 43,353/x
  3. Step 3: Cross multiply
    31,099.50x = 43,353 × 43,353
  4. Step 4: Simplify right side
    31,099.50x = 1,879,482,609
  5. Step 5: Solve for x
    x = 1,879,482,609/31,099.50
  6. Step 6: Final answer
    x = 60,434.50

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.