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Finding the Third Proportional to 11,019 and 24,215

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Solution

The third proportional to 11,019 and 24,215 is: 53,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,019 : 24,215 = 24,215 : x
  2. Step 2: Convert to fraction form
    11,019/24,215 = 24,215/x
  3. Step 3: Cross multiply
    11,019x = 24,215 × 24,215
  4. Step 4: Simplify right side
    11,019x = 586,366,225
  5. Step 5: Solve for x
    x = 586,366,225/11,019
  6. Step 6: Final answer
    x = 53,214.11

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Why These Related Problems?

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