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Finding the Third Proportional to 38,285 and 58,237

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Solution

The third proportional to 38,285 and 58,237 is: 88,586.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,285 : 58,237 = 58,237 : x
  2. Step 2: Convert to fraction form
    38,285/58,237 = 58,237/x
  3. Step 3: Cross multiply
    38,285x = 58,237 × 58,237
  4. Step 4: Simplify right side
    38,285x = 3,391,548,169
  5. Step 5: Solve for x
    x = 3,391,548,169/38,285
  6. Step 6: Final answer
    x = 88,586.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.