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Finding the Third Proportional to 20,706.75 and 32,290.31

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Solution

The third proportional to 20,706.75 and 32,290.31 is: 50,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706.75 : 32,290.31 = 32,290.31 : x
  2. Step 2: Convert to fraction form
    20,706.75/32,290.31 = 32,290.31/x
  3. Step 3: Cross multiply
    20,706.75x = 32,290.31 × 32,290.31
  4. Step 4: Simplify right side
    20,706.75x = 1,042,664,281.35
  5. Step 5: Solve for x
    x = 1,042,664,281.35/20,706.75
  6. Step 6: Final answer
    x = 50,353.84

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.