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Finding the Third Proportional to 12,414 and 28,361.75

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Solution

The third proportional to 12,414 and 28,361.75 is: 64,796.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414 : 28,361.75 = 28,361.75 : x
  2. Step 2: Convert to fraction form
    12,414/28,361.75 = 28,361.75/x
  3. Step 3: Cross multiply
    12,414x = 28,361.75 × 28,361.75
  4. Step 4: Simplify right side
    12,414x = 804,388,863.06
  5. Step 5: Solve for x
    x = 804,388,863.06/12,414
  6. Step 6: Final answer
    x = 64,796.91

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.