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Finding the Third Proportional to 11,222 and 24,301

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Solution

The third proportional to 11,222 and 24,301 is: 52,623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,222 : 24,301 = 24,301 : x
  2. Step 2: Convert to fraction form
    11,222/24,301 = 24,301/x
  3. Step 3: Cross multiply
    11,222x = 24,301 × 24,301
  4. Step 4: Simplify right side
    11,222x = 590,538,601
  5. Step 5: Solve for x
    x = 590,538,601/11,222
  6. Step 6: Final answer
    x = 52,623.29

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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.