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Finding the Third Proportional to 36,977.50 and 60,077

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Solution

The third proportional to 36,977.50 and 60,077 is: 97,606.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,977.50 : 60,077 = 60,077 : x
  2. Step 2: Convert to fraction form
    36,977.50/60,077 = 60,077/x
  3. Step 3: Cross multiply
    36,977.50x = 60,077 × 60,077
  4. Step 4: Simplify right side
    36,977.50x = 3,609,245,929
  5. Step 5: Solve for x
    x = 3,609,245,929/36,977.50
  6. Step 6: Final answer
    x = 97,606.54

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.