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Finding the Third Proportional to 11,577 and 24,608

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Solution

The third proportional to 11,577 and 24,608 is: 52,306.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577 : 24,608 = 24,608 : x
  2. Step 2: Convert to fraction form
    11,577/24,608 = 24,608/x
  3. Step 3: Cross multiply
    11,577x = 24,608 × 24,608
  4. Step 4: Simplify right side
    11,577x = 605,553,664
  5. Step 5: Solve for x
    x = 605,553,664/11,577
  6. Step 6: Final answer
    x = 52,306.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.