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Finding the Third Proportional to 27,627.96 and 41,672.60

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Solution

The third proportional to 27,627.96 and 41,672.60 is: 62,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,627.96 : 41,672.60 = 41,672.60 : x
  2. Step 2: Convert to fraction form
    27,627.96/41,672.60 = 41,672.60/x
  3. Step 3: Cross multiply
    27,627.96x = 41,672.60 × 41,672.60
  4. Step 4: Simplify right side
    27,627.96x = 1,736,605,720.99
  5. Step 5: Solve for x
    x = 1,736,605,720.99/27,627.96
  6. Step 6: Final answer
    x = 62,856.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.