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Finding the Third Proportional to 37,925.09 and 54,629.44

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Solution

The third proportional to 37,925.09 and 54,629.44 is: 78,691.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,925.09 : 54,629.44 = 54,629.44 : x
  2. Step 2: Convert to fraction form
    37,925.09/54,629.44 = 54,629.44/x
  3. Step 3: Cross multiply
    37,925.09x = 54,629.44 × 54,629.44
  4. Step 4: Simplify right side
    37,925.09x = 2,984,375,441.57
  5. Step 5: Solve for x
    x = 2,984,375,441.57/37,925.09
  6. Step 6: Final answer
    x = 78,691.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.