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Finding the Third Proportional to 31,741 and 68,325.25

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Solution

The third proportional to 31,741 and 68,325.25 is: 147,076.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,741 : 68,325.25 = 68,325.25 : x
  2. Step 2: Convert to fraction form
    31,741/68,325.25 = 68,325.25/x
  3. Step 3: Cross multiply
    31,741x = 68,325.25 × 68,325.25
  4. Step 4: Simplify right side
    31,741x = 4,668,339,787.56
  5. Step 5: Solve for x
    x = 4,668,339,787.56/31,741
  6. Step 6: Final answer
    x = 147,076.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.