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Finding the Third Proportional to 11,107 and 24,059

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Solution

The third proportional to 11,107 and 24,059 is: 52,114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107 : 24,059 = 24,059 : x
  2. Step 2: Convert to fraction form
    11,107/24,059 = 24,059/x
  3. Step 3: Cross multiply
    11,107x = 24,059 × 24,059
  4. Step 4: Simplify right side
    11,107x = 578,835,481
  5. Step 5: Solve for x
    x = 578,835,481/11,107
  6. Step 6: Final answer
    x = 52,114.48

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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.