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Finding the Third Proportional to 31,797 and 73,930.50

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Solution

The third proportional to 31,797 and 73,930.50 is: 171,894.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,797 : 73,930.50 = 73,930.50 : x
  2. Step 2: Convert to fraction form
    31,797/73,930.50 = 73,930.50/x
  3. Step 3: Cross multiply
    31,797x = 73,930.50 × 73,930.50
  4. Step 4: Simplify right side
    31,797x = 5,465,718,830.25
  5. Step 5: Solve for x
    x = 5,465,718,830.25/31,797
  6. Step 6: Final answer
    x = 171,894.17

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.