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Finding the Third Proportional to 38,477 and 57,562

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Solution

The third proportional to 38,477 and 57,562 is: 86,113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,477 : 57,562 = 57,562 : x
  2. Step 2: Convert to fraction form
    38,477/57,562 = 57,562/x
  3. Step 3: Cross multiply
    38,477x = 57,562 × 57,562
  4. Step 4: Simplify right side
    38,477x = 3,313,383,844
  5. Step 5: Solve for x
    x = 3,313,383,844/38,477
  6. Step 6: Final answer
    x = 86,113.36

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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.