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Finding the Third Proportional to 36,000.07 and 76,596.26

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Solution

The third proportional to 36,000.07 and 76,596.26 is: 162,971.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,000.07 : 76,596.26 = 76,596.26 : x
  2. Step 2: Convert to fraction form
    36,000.07/76,596.26 = 76,596.26/x
  3. Step 3: Cross multiply
    36,000.07x = 76,596.26 × 76,596.26
  4. Step 4: Simplify right side
    36,000.07x = 5,866,986,710.88
  5. Step 5: Solve for x
    x = 5,866,986,710.88/36,000.07
  6. Step 6: Final answer
    x = 162,971.53

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.