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Finding the Third Proportional to 8,892 and 20,583

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Solution

The third proportional to 8,892 and 20,583 is: 47,645.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,892 : 20,583 = 20,583 : x
  2. Step 2: Convert to fraction form
    8,892/20,583 = 20,583/x
  3. Step 3: Cross multiply
    8,892x = 20,583 × 20,583
  4. Step 4: Simplify right side
    8,892x = 423,659,889
  5. Step 5: Solve for x
    x = 423,659,889/8,892
  6. Step 6: Final answer
    x = 47,645.06

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.