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Finding the Third Proportional to 37,228.25 and 54,748.75

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Solution

The third proportional to 37,228.25 and 54,748.75 is: 80,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,228.25 : 54,748.75 = 54,748.75 : x
  2. Step 2: Convert to fraction form
    37,228.25/54,748.75 = 54,748.75/x
  3. Step 3: Cross multiply
    37,228.25x = 54,748.75 × 54,748.75
  4. Step 4: Simplify right side
    37,228.25x = 2,997,425,626.56
  5. Step 5: Solve for x
    x = 2,997,425,626.56/37,228.25
  6. Step 6: Final answer
    x = 80,514.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.