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Finding the Third Proportional to 43,213.50 and 58,077

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Solution

The third proportional to 43,213.50 and 58,077 is: 78,052.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,213.50 : 58,077 = 58,077 : x
  2. Step 2: Convert to fraction form
    43,213.50/58,077 = 58,077/x
  3. Step 3: Cross multiply
    43,213.50x = 58,077 × 58,077
  4. Step 4: Simplify right side
    43,213.50x = 3,372,937,929
  5. Step 5: Solve for x
    x = 3,372,937,929/43,213.50
  6. Step 6: Final answer
    x = 78,052.88

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.