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Finding the Third Proportional to 16,640 and 25,027.75

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Solution

The third proportional to 16,640 and 25,027.75 is: 37,643.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,640 : 25,027.75 = 25,027.75 : x
  2. Step 2: Convert to fraction form
    16,640/25,027.75 = 25,027.75/x
  3. Step 3: Cross multiply
    16,640x = 25,027.75 × 25,027.75
  4. Step 4: Simplify right side
    16,640x = 626,388,270.06
  5. Step 5: Solve for x
    x = 626,388,270.06/16,640
  6. Step 6: Final answer
    x = 37,643.53

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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.