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Finding the Third Proportional to 5,671.97 and 12,314.53

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Solution

The third proportional to 5,671.97 and 12,314.53 is: 26,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.97 : 12,314.53 = 12,314.53 : x
  2. Step 2: Convert to fraction form
    5,671.97/12,314.53 = 12,314.53/x
  3. Step 3: Cross multiply
    5,671.97x = 12,314.53 × 12,314.53
  4. Step 4: Simplify right side
    5,671.97x = 151,647,679.91
  5. Step 5: Solve for x
    x = 151,647,679.91/5,671.97
  6. Step 6: Final answer
    x = 26,736.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.