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Finding the Third Proportional to 36,453.80 and 75,436.31

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Solution

The third proportional to 36,453.80 and 75,436.31 is: 156,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,453.80 : 75,436.31 = 75,436.31 : x
  2. Step 2: Convert to fraction form
    36,453.80/75,436.31 = 75,436.31/x
  3. Step 3: Cross multiply
    36,453.80x = 75,436.31 × 75,436.31
  4. Step 4: Simplify right side
    36,453.80x = 5,690,637,243.60
  5. Step 5: Solve for x
    x = 5,690,637,243.60/36,453.80
  6. Step 6: Final answer
    x = 156,105.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.