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Finding the Third Proportional to 31,729.50 and 70,550.25

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Solution

The third proportional to 31,729.50 and 70,550.25 is: 156,867.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,729.50 : 70,550.25 = 70,550.25 : x
  2. Step 2: Convert to fraction form
    31,729.50/70,550.25 = 70,550.25/x
  3. Step 3: Cross multiply
    31,729.50x = 70,550.25 × 70,550.25
  4. Step 4: Simplify right side
    31,729.50x = 4,977,337,775.06
  5. Step 5: Solve for x
    x = 4,977,337,775.06/31,729.50
  6. Step 6: Final answer
    x = 156,867.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.