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Finding the Third Proportional to 18,057 and 39,354

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Solution

The third proportional to 18,057 and 39,354 is: 85,769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,057 : 39,354 = 39,354 : x
  2. Step 2: Convert to fraction form
    18,057/39,354 = 39,354/x
  3. Step 3: Cross multiply
    18,057x = 39,354 × 39,354
  4. Step 4: Simplify right side
    18,057x = 1,548,737,316
  5. Step 5: Solve for x
    x = 1,548,737,316/18,057
  6. Step 6: Final answer
    x = 85,769.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.