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Finding the Third Proportional to 9,960 and 16,533

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Solution

The third proportional to 9,960 and 16,533 is: 27,443.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960 : 16,533 = 16,533 : x
  2. Step 2: Convert to fraction form
    9,960/16,533 = 16,533/x
  3. Step 3: Cross multiply
    9,960x = 16,533 × 16,533
  4. Step 4: Simplify right side
    9,960x = 273,340,089
  5. Step 5: Solve for x
    x = 273,340,089/9,960
  6. Step 6: Final answer
    x = 27,443.78

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.