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Finding the Third Proportional to 32,440.50 and 71,926.31

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Solution

The third proportional to 32,440.50 and 71,926.31 is: 159,473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,440.50 : 71,926.31 = 71,926.31 : x
  2. Step 2: Convert to fraction form
    32,440.50/71,926.31 = 71,926.31/x
  3. Step 3: Cross multiply
    32,440.50x = 71,926.31 × 71,926.31
  4. Step 4: Simplify right side
    32,440.50x = 5,173,394,429.85
  5. Step 5: Solve for x
    x = 5,173,394,429.85/32,440.50
  6. Step 6: Final answer
    x = 159,473.33

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.