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Finding the Third Proportional to 11,024 and 24,502

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Solution

The third proportional to 11,024 and 24,502 is: 54,458.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,024 : 24,502 = 24,502 : x
  2. Step 2: Convert to fraction form
    11,024/24,502 = 24,502/x
  3. Step 3: Cross multiply
    11,024x = 24,502 × 24,502
  4. Step 4: Simplify right side
    11,024x = 600,348,004
  5. Step 5: Solve for x
    x = 600,348,004/11,024
  6. Step 6: Final answer
    x = 54,458.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.