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Finding the Third Proportional to 20,272.46 and 32,282.46

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Solution

The third proportional to 20,272.46 and 32,282.46 is: 51,407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,272.46 : 32,282.46 = 32,282.46 : x
  2. Step 2: Convert to fraction form
    20,272.46/32,282.46 = 32,282.46/x
  3. Step 3: Cross multiply
    20,272.46x = 32,282.46 × 32,282.46
  4. Step 4: Simplify right side
    20,272.46x = 1,042,156,905.87
  5. Step 5: Solve for x
    x = 1,042,156,905.87/20,272.46
  6. Step 6: Final answer
    x = 51,407.51

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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.