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Finding the Third Proportional to 11,206 and 24,318

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Solution

The third proportional to 11,206 and 24,318 is: 52,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206 : 24,318 = 24,318 : x
  2. Step 2: Convert to fraction form
    11,206/24,318 = 24,318/x
  3. Step 3: Cross multiply
    11,206x = 24,318 × 24,318
  4. Step 4: Simplify right side
    11,206x = 591,365,124
  5. Step 5: Solve for x
    x = 591,365,124/11,206
  6. Step 6: Final answer
    x = 52,772.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.