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Finding the Third Proportional to 11,902 and 24,350

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Solution

The third proportional to 11,902 and 24,350 is: 49,817.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902 : 24,350 = 24,350 : x
  2. Step 2: Convert to fraction form
    11,902/24,350 = 24,350/x
  3. Step 3: Cross multiply
    11,902x = 24,350 × 24,350
  4. Step 4: Simplify right side
    11,902x = 592,922,500
  5. Step 5: Solve for x
    x = 592,922,500/11,902
  6. Step 6: Final answer
    x = 49,817.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.