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Finding the Third Proportional to 32,116.50 and 51,147

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Solution

The third proportional to 32,116.50 and 51,147 is: 81,453.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,116.50 : 51,147 = 51,147 : x
  2. Step 2: Convert to fraction form
    32,116.50/51,147 = 51,147/x
  3. Step 3: Cross multiply
    32,116.50x = 51,147 × 51,147
  4. Step 4: Simplify right side
    32,116.50x = 2,616,015,609
  5. Step 5: Solve for x
    x = 2,616,015,609/32,116.50
  6. Step 6: Final answer
    x = 81,453.94

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.