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Finding the Third Proportional to 20,538 and 23,562

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Solution

The third proportional to 20,538 and 23,562 is: 27,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538 : 23,562 = 23,562 : x
  2. Step 2: Convert to fraction form
    20,538/23,562 = 23,562/x
  3. Step 3: Cross multiply
    20,538x = 23,562 × 23,562
  4. Step 4: Simplify right side
    20,538x = 555,167,844
  5. Step 5: Solve for x
    x = 555,167,844/20,538
  6. Step 6: Final answer
    x = 27,031.25

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.