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Finding the Third Proportional to 36,336.50 and 77,077

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Solution

The third proportional to 36,336.50 and 77,077 is: 163,495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,336.50 : 77,077 = 77,077 : x
  2. Step 2: Convert to fraction form
    36,336.50/77,077 = 77,077/x
  3. Step 3: Cross multiply
    36,336.50x = 77,077 × 77,077
  4. Step 4: Simplify right side
    36,336.50x = 5,940,863,929
  5. Step 5: Solve for x
    x = 5,940,863,929/36,336.50
  6. Step 6: Final answer
    x = 163,495.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.