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Finding the Third Proportional to 31,884 and 70,200

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Solution

The third proportional to 31,884 and 70,200 is: 154,561.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,884 : 70,200 = 70,200 : x
  2. Step 2: Convert to fraction form
    31,884/70,200 = 70,200/x
  3. Step 3: Cross multiply
    31,884x = 70,200 × 70,200
  4. Step 4: Simplify right side
    31,884x = 4,928,040,000
  5. Step 5: Solve for x
    x = 4,928,040,000/31,884
  6. Step 6: Final answer
    x = 154,561.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.