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Finding the Third Proportional to 17,892 and 39,354

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Solution

The third proportional to 17,892 and 39,354 is: 86,560.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,892 : 39,354 = 39,354 : x
  2. Step 2: Convert to fraction form
    17,892/39,354 = 39,354/x
  3. Step 3: Cross multiply
    17,892x = 39,354 × 39,354
  4. Step 4: Simplify right side
    17,892x = 1,548,737,316
  5. Step 5: Solve for x
    x = 1,548,737,316/17,892
  6. Step 6: Final answer
    x = 86,560.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.