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Finding the Third Proportional to 29,886 and 40,611

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Solution

The third proportional to 29,886 and 40,611 is: 55,184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,886 : 40,611 = 40,611 : x
  2. Step 2: Convert to fraction form
    29,886/40,611 = 40,611/x
  3. Step 3: Cross multiply
    29,886x = 40,611 × 40,611
  4. Step 4: Simplify right side
    29,886x = 1,649,253,321
  5. Step 5: Solve for x
    x = 1,649,253,321/29,886
  6. Step 6: Final answer
    x = 55,184.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.