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Finding the Third Proportional to 38,395.25 and 57,296.75

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Solution

The third proportional to 38,395.25 and 57,296.75 is: 85,503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,395.25 : 57,296.75 = 57,296.75 : x
  2. Step 2: Convert to fraction form
    38,395.25/57,296.75 = 57,296.75/x
  3. Step 3: Cross multiply
    38,395.25x = 57,296.75 × 57,296.75
  4. Step 4: Simplify right side
    38,395.25x = 3,282,917,560.56
  5. Step 5: Solve for x
    x = 3,282,917,560.56/38,395.25
  6. Step 6: Final answer
    x = 85,503.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.