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Finding the Third Proportional to 36,330 and 55,551

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Solution

The third proportional to 36,330 and 55,551 is: 84,941.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,330 : 55,551 = 55,551 : x
  2. Step 2: Convert to fraction form
    36,330/55,551 = 55,551/x
  3. Step 3: Cross multiply
    36,330x = 55,551 × 55,551
  4. Step 4: Simplify right side
    36,330x = 3,085,913,601
  5. Step 5: Solve for x
    x = 3,085,913,601/36,330
  6. Step 6: Final answer
    x = 84,941.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.