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Finding the Third Proportional to 20,538 and 27,459

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Solution

The third proportional to 20,538 and 27,459 is: 36,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538 : 27,459 = 27,459 : x
  2. Step 2: Convert to fraction form
    20,538/27,459 = 27,459/x
  3. Step 3: Cross multiply
    20,538x = 27,459 × 27,459
  4. Step 4: Simplify right side
    20,538x = 753,996,681
  5. Step 5: Solve for x
    x = 753,996,681/20,538
  6. Step 6: Final answer
    x = 36,712.27

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.