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Finding the Third Proportional to 24,411 and 49,500

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Solution

The third proportional to 24,411 and 49,500 is: 100,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,411 : 49,500 = 49,500 : x
  2. Step 2: Convert to fraction form
    24,411/49,500 = 49,500/x
  3. Step 3: Cross multiply
    24,411x = 49,500 × 49,500
  4. Step 4: Simplify right side
    24,411x = 2,450,250,000
  5. Step 5: Solve for x
    x = 2,450,250,000/24,411
  6. Step 6: Final answer
    x = 100,374.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.