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Finding the Third Proportional to 36,033.50 and 53,883

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Solution

The third proportional to 36,033.50 and 53,883 is: 80,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,033.50 : 53,883 = 53,883 : x
  2. Step 2: Convert to fraction form
    36,033.50/53,883 = 53,883/x
  3. Step 3: Cross multiply
    36,033.50x = 53,883 × 53,883
  4. Step 4: Simplify right side
    36,033.50x = 2,903,377,689
  5. Step 5: Solve for x
    x = 2,903,377,689/36,033.50
  6. Step 6: Final answer
    x = 80,574.40

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Why These Related Problems?

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