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Finding the Third Proportional to 36,932.50 and 78,296

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Solution

The third proportional to 36,932.50 and 78,296 is: 165,985.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,932.50 : 78,296 = 78,296 : x
  2. Step 2: Convert to fraction form
    36,932.50/78,296 = 78,296/x
  3. Step 3: Cross multiply
    36,932.50x = 78,296 × 78,296
  4. Step 4: Simplify right side
    36,932.50x = 6,130,263,616
  5. Step 5: Solve for x
    x = 6,130,263,616/36,932.50
  6. Step 6: Final answer
    x = 165,985.61

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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.