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Finding the Third Proportional to 31,401 and 44,016.75

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Solution

The third proportional to 31,401 and 44,016.75 is: 61,701.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,401 : 44,016.75 = 44,016.75 : x
  2. Step 2: Convert to fraction form
    31,401/44,016.75 = 44,016.75/x
  3. Step 3: Cross multiply
    31,401x = 44,016.75 × 44,016.75
  4. Step 4: Simplify right side
    31,401x = 1,937,474,280.56
  5. Step 5: Solve for x
    x = 1,937,474,280.56/31,401
  6. Step 6: Final answer
    x = 61,701.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.