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Finding the Third Proportional to 38,236 and 57,354

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Solution

The third proportional to 38,236 and 57,354 is: 86,031

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,236 : 57,354 = 57,354 : x
  2. Step 2: Convert to fraction form
    38,236/57,354 = 57,354/x
  3. Step 3: Cross multiply
    38,236x = 57,354 × 57,354
  4. Step 4: Simplify right side
    38,236x = 3,289,481,316
  5. Step 5: Solve for x
    x = 3,289,481,316/38,236
  6. Step 6: Final answer
    x = 86,031

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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.