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Finding the Third Proportional to 40,353.75 and 82,350

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Solution

The third proportional to 40,353.75 and 82,350 is: 168,051.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,353.75 : 82,350 = 82,350 : x
  2. Step 2: Convert to fraction form
    40,353.75/82,350 = 82,350/x
  3. Step 3: Cross multiply
    40,353.75x = 82,350 × 82,350
  4. Step 4: Simplify right side
    40,353.75x = 6,781,522,500
  5. Step 5: Solve for x
    x = 6,781,522,500/40,353.75
  6. Step 6: Final answer
    x = 168,051.85

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.