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Finding the Third Proportional to 13,543 and 20,459

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Solution

The third proportional to 13,543 and 20,459 is: 30,906.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543 : 20,459 = 20,459 : x
  2. Step 2: Convert to fraction form
    13,543/20,459 = 20,459/x
  3. Step 3: Cross multiply
    13,543x = 20,459 × 20,459
  4. Step 4: Simplify right side
    13,543x = 418,570,681
  5. Step 5: Solve for x
    x = 418,570,681/13,543
  6. Step 6: Final answer
    x = 30,906.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.