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Finding the Third Proportional to 3,714.09 and 8,157.19

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Solution

The third proportional to 3,714.09 and 8,157.19 is: 17,915.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.09 : 8,157.19 = 8,157.19 : x
  2. Step 2: Convert to fraction form
    3,714.09/8,157.19 = 8,157.19/x
  3. Step 3: Cross multiply
    3,714.09x = 8,157.19 × 8,157.19
  4. Step 4: Simplify right side
    3,714.09x = 66,539,707.91
  5. Step 5: Solve for x
    x = 66,539,707.91/3,714.09
  6. Step 6: Final answer
    x = 17,915.46

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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.