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Finding the Third Proportional to 19,996 and 29,225

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Solution

The third proportional to 19,996 and 29,225 is: 42,713.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,996 : 29,225 = 29,225 : x
  2. Step 2: Convert to fraction form
    19,996/29,225 = 29,225/x
  3. Step 3: Cross multiply
    19,996x = 29,225 × 29,225
  4. Step 4: Simplify right side
    19,996x = 854,100,625
  5. Step 5: Solve for x
    x = 854,100,625/19,996
  6. Step 6: Final answer
    x = 42,713.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.