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Finding the Third Proportional to 3,753.21 and 7,968.45

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Solution

The third proportional to 3,753.21 and 7,968.45 is: 16,917.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.21 : 7,968.45 = 7,968.45 : x
  2. Step 2: Convert to fraction form
    3,753.21/7,968.45 = 7,968.45/x
  3. Step 3: Cross multiply
    3,753.21x = 7,968.45 × 7,968.45
  4. Step 4: Simplify right side
    3,753.21x = 63,496,260.77
  5. Step 5: Solve for x
    x = 63,496,260.77/3,753.21
  6. Step 6: Final answer
    x = 16,917.85

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.