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Finding the Third Proportional to 11,109 and 24,224

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Solution

The third proportional to 11,109 and 24,224 is: 52,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,109 : 24,224 = 24,224 : x
  2. Step 2: Convert to fraction form
    11,109/24,224 = 24,224/x
  3. Step 3: Cross multiply
    11,109x = 24,224 × 24,224
  4. Step 4: Simplify right side
    11,109x = 586,802,176
  5. Step 5: Solve for x
    x = 586,802,176/11,109
  6. Step 6: Final answer
    x = 52,822.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.