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Finding the Third Proportional to 2,612.44 and 4,046.81

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Solution

The third proportional to 2,612.44 and 4,046.81 is: 6,268.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.44 : 4,046.81 = 4,046.81 : x
  2. Step 2: Convert to fraction form
    2,612.44/4,046.81 = 4,046.81/x
  3. Step 3: Cross multiply
    2,612.44x = 4,046.81 × 4,046.81
  4. Step 4: Simplify right side
    2,612.44x = 16,376,691.41
  5. Step 5: Solve for x
    x = 16,376,691.41/2,612.44
  6. Step 6: Final answer
    x = 6,268.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.