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Finding the Third Proportional to 38,036 and 57,172

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Solution

The third proportional to 38,036 and 57,172 is: 85,935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,036 : 57,172 = 57,172 : x
  2. Step 2: Convert to fraction form
    38,036/57,172 = 57,172/x
  3. Step 3: Cross multiply
    38,036x = 57,172 × 57,172
  4. Step 4: Simplify right side
    38,036x = 3,268,637,584
  5. Step 5: Solve for x
    x = 3,268,637,584/38,036
  6. Step 6: Final answer
    x = 85,935.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.