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Finding the Third Proportional to 35,170.88 and 71,644.50

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Solution

The third proportional to 35,170.88 and 71,644.50 is: 145,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,170.88 : 71,644.50 = 71,644.50 : x
  2. Step 2: Convert to fraction form
    35,170.88/71,644.50 = 71,644.50/x
  3. Step 3: Cross multiply
    35,170.88x = 71,644.50 × 71,644.50
  4. Step 4: Simplify right side
    35,170.88x = 5,132,934,380.25
  5. Step 5: Solve for x
    x = 5,132,934,380.25/35,170.88
  6. Step 6: Final answer
    x = 145,942.75

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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.