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Finding the Third Proportional to 20,538 and 43,222

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Solution

The third proportional to 20,538 and 43,222 is: 90,960.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538 : 43,222 = 43,222 : x
  2. Step 2: Convert to fraction form
    20,538/43,222 = 43,222/x
  3. Step 3: Cross multiply
    20,538x = 43,222 × 43,222
  4. Step 4: Simplify right side
    20,538x = 1,868,141,284
  5. Step 5: Solve for x
    x = 1,868,141,284/20,538
  6. Step 6: Final answer
    x = 90,960.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.