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Finding the Third Proportional to 36,608 and 55,040

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Solution

The third proportional to 36,608 and 55,040 is: 82,752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,608 : 55,040 = 55,040 : x
  2. Step 2: Convert to fraction form
    36,608/55,040 = 55,040/x
  3. Step 3: Cross multiply
    36,608x = 55,040 × 55,040
  4. Step 4: Simplify right side
    36,608x = 3,029,401,600
  5. Step 5: Solve for x
    x = 3,029,401,600/36,608
  6. Step 6: Final answer
    x = 82,752.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.