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Finding the Third Proportional to 24,611 and 38,181

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Solution

The third proportional to 24,611 and 38,181 is: 59,233.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,611 : 38,181 = 38,181 : x
  2. Step 2: Convert to fraction form
    24,611/38,181 = 38,181/x
  3. Step 3: Cross multiply
    24,611x = 38,181 × 38,181
  4. Step 4: Simplify right side
    24,611x = 1,457,788,761
  5. Step 5: Solve for x
    x = 1,457,788,761/24,611
  6. Step 6: Final answer
    x = 59,233.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.