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Finding the Third Proportional to 11,812.50 and 24,171

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Solution

The third proportional to 11,812.50 and 24,171 is: 49,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.50 : 24,171 = 24,171 : x
  2. Step 2: Convert to fraction form
    11,812.50/24,171 = 24,171/x
  3. Step 3: Cross multiply
    11,812.50x = 24,171 × 24,171
  4. Step 4: Simplify right side
    11,812.50x = 584,237,241
  5. Step 5: Solve for x
    x = 584,237,241/11,812.50
  6. Step 6: Final answer
    x = 49,459.24

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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.