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Finding the Third Proportional to 27,533.25 and 43,761

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Solution

The third proportional to 27,533.25 and 43,761 is: 69,553.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,533.25 : 43,761 = 43,761 : x
  2. Step 2: Convert to fraction form
    27,533.25/43,761 = 43,761/x
  3. Step 3: Cross multiply
    27,533.25x = 43,761 × 43,761
  4. Step 4: Simplify right side
    27,533.25x = 1,915,025,121
  5. Step 5: Solve for x
    x = 1,915,025,121/27,533.25
  6. Step 6: Final answer
    x = 69,553.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.