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Finding the Third Proportional to 11,577 and 24,173

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Solution

The third proportional to 11,577 and 24,173 is: 50,473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577 : 24,173 = 24,173 : x
  2. Step 2: Convert to fraction form
    11,577/24,173 = 24,173/x
  3. Step 3: Cross multiply
    11,577x = 24,173 × 24,173
  4. Step 4: Simplify right side
    11,577x = 584,333,929
  5. Step 5: Solve for x
    x = 584,333,929/11,577
  6. Step 6: Final answer
    x = 50,473.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.