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Finding the Third Proportional to 20,155 and 43,225

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Solution

The third proportional to 20,155 and 43,225 is: 92,701.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,155 : 43,225 = 43,225 : x
  2. Step 2: Convert to fraction form
    20,155/43,225 = 43,225/x
  3. Step 3: Cross multiply
    20,155x = 43,225 × 43,225
  4. Step 4: Simplify right side
    20,155x = 1,868,400,625
  5. Step 5: Solve for x
    x = 1,868,400,625/20,155
  6. Step 6: Final answer
    x = 92,701.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.