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Finding the Third Proportional to 9,966 and 13,543

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Solution

The third proportional to 9,966 and 13,543 is: 18,403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966 : 13,543 = 13,543 : x
  2. Step 2: Convert to fraction form
    9,966/13,543 = 13,543/x
  3. Step 3: Cross multiply
    9,966x = 13,543 × 13,543
  4. Step 4: Simplify right side
    9,966x = 183,412,849
  5. Step 5: Solve for x
    x = 183,412,849/9,966
  6. Step 6: Final answer
    x = 18,403.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.