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Finding the Third Proportional to 32,857.88 and 71,796.94

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Solution

The third proportional to 32,857.88 and 71,796.94 is: 156,881.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,857.88 : 71,796.94 = 71,796.94 : x
  2. Step 2: Convert to fraction form
    32,857.88/71,796.94 = 71,796.94/x
  3. Step 3: Cross multiply
    32,857.88x = 71,796.94 × 71,796.94
  4. Step 4: Simplify right side
    32,857.88x = 5,154,800,234.38
  5. Step 5: Solve for x
    x = 5,154,800,234.38/32,857.88
  6. Step 6: Final answer
    x = 156,881.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.