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Finding the Third Proportional to 36,330 and 55,436.75

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Solution

The third proportional to 36,330 and 55,436.75 is: 84,592.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,330 : 55,436.75 = 55,436.75 : x
  2. Step 2: Convert to fraction form
    36,330/55,436.75 = 55,436.75/x
  3. Step 3: Cross multiply
    36,330x = 55,436.75 × 55,436.75
  4. Step 4: Simplify right side
    36,330x = 3,073,233,250.56
  5. Step 5: Solve for x
    x = 3,073,233,250.56/36,330
  6. Step 6: Final answer
    x = 84,592.16

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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.