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Finding the Third Proportional to 38,006 and 57,237

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Solution

The third proportional to 38,006 and 57,237 is: 86,198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,006 : 57,237 = 57,237 : x
  2. Step 2: Convert to fraction form
    38,006/57,237 = 57,237/x
  3. Step 3: Cross multiply
    38,006x = 57,237 × 57,237
  4. Step 4: Simplify right side
    38,006x = 3,276,074,169
  5. Step 5: Solve for x
    x = 3,276,074,169/38,006
  6. Step 6: Final answer
    x = 86,198.87

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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.