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Finding the Third Proportional to 24,962 and 54,100

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Solution

The third proportional to 24,962 and 54,100 is: 117,250.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,962 : 54,100 = 54,100 : x
  2. Step 2: Convert to fraction form
    24,962/54,100 = 54,100/x
  3. Step 3: Cross multiply
    24,962x = 54,100 × 54,100
  4. Step 4: Simplify right side
    24,962x = 2,926,810,000
  5. Step 5: Solve for x
    x = 2,926,810,000/24,962
  6. Step 6: Final answer
    x = 117,250.62

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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.