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Finding the Third Proportional to 17,627.63 and 20,580.75

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Solution

The third proportional to 17,627.63 and 20,580.75 is: 24,028.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,627.63 : 20,580.75 = 20,580.75 : x
  2. Step 2: Convert to fraction form
    17,627.63/20,580.75 = 20,580.75/x
  3. Step 3: Cross multiply
    17,627.63x = 20,580.75 × 20,580.75
  4. Step 4: Simplify right side
    17,627.63x = 423,567,270.56
  5. Step 5: Solve for x
    x = 423,567,270.56/17,627.63
  6. Step 6: Final answer
    x = 24,028.61

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.