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Finding the Third Proportional to 30,733 and 67,937

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Solution

The third proportional to 30,733 and 67,937 is: 150,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,733 : 67,937 = 67,937 : x
  2. Step 2: Convert to fraction form
    30,733/67,937 = 67,937/x
  3. Step 3: Cross multiply
    30,733x = 67,937 × 67,937
  4. Step 4: Simplify right side
    30,733x = 4,615,435,969
  5. Step 5: Solve for x
    x = 4,615,435,969/30,733
  6. Step 6: Final answer
    x = 150,178.50

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.