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Finding the Third Proportional to 5,519 and 11,605

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Solution

The third proportional to 5,519 and 11,605 is: 24,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,519 : 11,605 = 11,605 : x
  2. Step 2: Convert to fraction form
    5,519/11,605 = 11,605/x
  3. Step 3: Cross multiply
    5,519x = 11,605 × 11,605
  4. Step 4: Simplify right side
    5,519x = 134,676,025
  5. Step 5: Solve for x
    x = 134,676,025/5,519
  6. Step 6: Final answer
    x = 24,402.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.