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Finding the Third Proportional to 3,714.05 and 8,157.09

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Solution

The third proportional to 3,714.05 and 8,157.09 is: 17,915.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.05 : 8,157.09 = 8,157.09 : x
  2. Step 2: Convert to fraction form
    3,714.05/8,157.09 = 8,157.09/x
  3. Step 3: Cross multiply
    3,714.05x = 8,157.09 × 8,157.09
  4. Step 4: Simplify right side
    3,714.05x = 66,538,178.45
  5. Step 5: Solve for x
    x = 66,538,178.45/3,714.05
  6. Step 6: Final answer
    x = 17,915.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.