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Finding the Third Proportional to 2,714.77 and 3,629.81

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Solution

The third proportional to 2,714.77 and 3,629.81 is: 4,853.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.77 : 3,629.81 = 3,629.81 : x
  2. Step 2: Convert to fraction form
    2,714.77/3,629.81 = 3,629.81/x
  3. Step 3: Cross multiply
    2,714.77x = 3,629.81 × 3,629.81
  4. Step 4: Simplify right side
    2,714.77x = 13,175,538.79
  5. Step 5: Solve for x
    x = 13,175,538.79/2,714.77
  6. Step 6: Final answer
    x = 4,853.29

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.