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Finding the Third Proportional to 36,588.50 and 76,048

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Solution

The third proportional to 36,588.50 and 76,048 is: 158,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,588.50 : 76,048 = 76,048 : x
  2. Step 2: Convert to fraction form
    36,588.50/76,048 = 76,048/x
  3. Step 3: Cross multiply
    36,588.50x = 76,048 × 76,048
  4. Step 4: Simplify right side
    36,588.50x = 5,783,298,304
  5. Step 5: Solve for x
    x = 5,783,298,304/36,588.50
  6. Step 6: Final answer
    x = 158,063.28

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.