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Finding the Third Proportional to 38,511 and 57,201

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Solution

The third proportional to 38,511 and 57,201 is: 84,961.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,511 : 57,201 = 57,201 : x
  2. Step 2: Convert to fraction form
    38,511/57,201 = 57,201/x
  3. Step 3: Cross multiply
    38,511x = 57,201 × 57,201
  4. Step 4: Simplify right side
    38,511x = 3,271,954,401
  5. Step 5: Solve for x
    x = 3,271,954,401/38,511
  6. Step 6: Final answer
    x = 84,961.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.