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Finding the Third Proportional to 11,223 and 24,411

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Solution

The third proportional to 11,223 and 24,411 is: 53,096.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223 : 24,411 = 24,411 : x
  2. Step 2: Convert to fraction form
    11,223/24,411 = 24,411/x
  3. Step 3: Cross multiply
    11,223x = 24,411 × 24,411
  4. Step 4: Simplify right side
    11,223x = 595,896,921
  5. Step 5: Solve for x
    x = 595,896,921/11,223
  6. Step 6: Final answer
    x = 53,096.05

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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.